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Dependence on the Parameter of Generalized Grötzsch Ring and Generalized Hübner Functions
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2024
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Qi Bao
Yu‐Ming Chu
Miao-Kun Wang
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Sharp weighted power mean bounds for two lemniscate type means
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2024
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Xin-Hao Yu
Shan Li
Miao-Kun Wang
Yi-Xia Li
Yu‐Ming Chu
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A NEW FRACTAL-FRACTIONAL HYBRID MODEL FOR STUDYING CLIMATE CHANGE ON COASTAL ECOSYSTEMS FROM THE MATHEMATICAL POINT OF VIEW
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2023
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Hasib Khan
Muhammad Aslam
Altaf Hussain
Yu‐Ming Chu
Sina Etemad
Shahram Rezapour
Hijaz Ahmad
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A New Scheme of the ARA Transform for Solving Fractional-Order Waves-Like Equations Involving Variable Coefficients
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2023
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Yu‐Ming Chu
Sobia Sultana
Shazia Karim
Saima Rashid
Mohammed Shaaf Alharthi
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Deterministic-stochastic analysis of fractional differential equations malnutrition model with random perturbations and crossover effects
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2023
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Yu‐Ming Chu
Saima Rashid
Shazia Karim
Aasma Khalid
S.K. Elagan
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Sharp power-type Heronian and Lehmer means inequalities for the complete elliptic integrals
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2023
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Tie‐Hong Zhao
Yu‐Ming Chu
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Some $$p,q$$-cubic quasi-rung orthopair fuzzy operators for multi-attribute decision-making
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2023
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Yu‐Ming Chu
Harish Garg
Muhammad Rahim
Fazli Amin
Asim Asiri
Eskandar Ameer
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Entropy structural characterization of zeolites BCT and DFT with bond-wise scaled comparison
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2023
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Micheal Arockiaraj
Daniel Paul
Muhammad Usman Ghani
Sushil Tigga
Yu‐Ming Chu
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New insights of a stochastic nonlinear differential equations model with ergodic stationary distribution via fractal-fractional derivatives involving random perturbations
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2023
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Yu‐Ming Chu
Sobia Sultana
Shazia Karim
Mohammed Shaaf Alharthi
Saima Rashid
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LOCAL TIME FRACTIONAL REDUCED DIFFERENTIAL TRANSFORM METHOD FOR SOLVING LOCAL TIME FRACTIONAL TELEGRAPH EQUATIONS
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2023
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Yu‐Ming Chu
Maher Jneid
Abir Chaouk
Mustafa İnç
Hadi Rezazadeh
Alphonse Houwe
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Solitary wave dynamics of thin-film ferroelectric material equation
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2023
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Yu‐Ming Chu
Saima Arshed
Maasoomah Sadaf
Ghazala Akram
Maham Maqbool
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NEW NUMERICAL SIMULATION FOR THE FRACTAL-FRACTIONAL MODEL OF DEATHLY LASSA HEMORRHAGIC FEVER DISEASE IN PREGNANT WOMEN WITH OPTIMAL ANALYSIS
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2023
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Yu‐Ming Chu
Saima Rashid
Sobia Sultana
Mustafa İnç
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Analysis and Numerical Computations of the Multi-Dimensional, Time-Fractional Model of Navier-Stokes Equation with a New Integral Transformation
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2023
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Yu‐Ming Chu
Saima Rashid
Khadiza Tul Kubra
Mustafa İnç
Zakia Hammouch
M. S. Osman
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Fractional quantum analogues of trapezoid like inequalities
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2023
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Yu‐Ming Chu
Muhammad Uzair Awan
Sadia Talib
Muhammad Aslam Noor
Khalida Inayat Noor
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New Configurations of the Fuzzy Fractional Differential Boussinesq Model with Application in Ocean Engineering and Their Analysis in Statistical Theory
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2023
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Yu‐Ming Chu
Saima Rashid
Shazia Karim
Anam Sultan
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Sharp exponential type inequalities for the arc lemniscate sine function with applications
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2023
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Jinl ng Niu
Miao-Kun Wang
Wei-Mao Qian
Yu‐Ming Chu
Hui-Zuo Xu
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Retraction Note: Hermite–Hadamard-type inequalities for $\eta _{h}$-convex functions via ψ-Riemann–Liouville fractional integrals
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2022
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Choonkil Park
Yu‐Ming Chu
Muhammad Shoaib Saleem
Sana Mukhtar
Nasir Rehman
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ON FRACTAL FRACTIONAL HEPATITIS B EPIDEMIC MODEL WITH MODIFIED VACCINATION EFFECTS
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2022
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Qura Tul Ain
Yu‐Ming Chu
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New quantum inequalities of Hermite-Hadamard type via Green function
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2022
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Sundas Khan
Hüseyin Budak
Yu‐Ming Chu
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Generalized fractional operator with applications in mathematical physics
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2022
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Muhammad Samraiz
Ahsan Mehmood
Sajid Iqbal
Saima Naheed
Gauhar Rahman
Yu‐Ming Chu
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On some new generalized fractional Bullen-type inequalities with applications
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2022
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Sabir Hussain
Sobia Rafeeq
Yu‐Ming Chu
Saba Khalid
Sahar Saleem
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On characterizing of bifurcation and stability analysis for time fractional glycolysis model
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2022
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Yu‐Ming Chu
M. Saqib Khan
Mujahid Abbas
Shafqat Ali
Waqas Nazeer
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NUMERICAL MODELING OF A NOVEL STOCHASTIC CORONAVIRUS
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2022
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Yu‐Ming Chu
Zain Ul Abadin Zafar
Mustafa İnç
Shumaila Javeed
Abu Safyan Ali
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A FRACTIONAL SARS-COV-2 MODEL WITH ATANGANA–BALEANU DERIVATIVE: APPLICATION TO FOURTH WAVE
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2022
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Yu‐Ming Chu
Mansour F. Yassen
Irshad Ahmad
Pongsakorn Sunthrayuth
Muhammad Altaf Khan
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Monotonicity and concavity properties of the Gaussian hypergeometric functions, with applications
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2022
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Miao-Kun Wang
Tie‐Hong Zhao
Xuejing Ren
Yu‐Ming Chu
Zai-Yin He
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Analytical treatment of regularized Prabhakar fractional differential equations by invariant subspaces
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2022
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Yu‐Ming Chu
Mustafa İnç
Mir Sajjad Hashemi
Shiva Eshaghi
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Mathematical assessment of a fractional‐order vector–host disease model with the Caputo–Fabrizio derivative
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2022
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Yu‐Ming Chu
Muhammad Farooq Khan
Saif Ullah
Syed Azhar Ali Shah
Muhammad Farooq
Mustafa bin Mamat
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Computation of Zagreb Polynomials and Zagreb Indices for Benzenoid Triangular & Hourglass System
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2022
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Yu‐Ming Chu
Abdul Rauf Khan
Muhammad Usman Ghani
Abdul Ghaffar
Mustafa İnç
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Numerical Investigation of Volterra Integral Equations of Second Kind using Optimal Homotopy Asymptotic Method
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2022
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Yu‐Ming Chu
Saif Ullah
Muzaher Ali
Ghulam Fatima Tuzzahrah
Taj Munir
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Asymptotically sharp bounds for the complete $p$-elliptic integral of the first kind
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2022
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Ti-Ren Huang
Lu Chen
Yu‐Ming Chu
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Hermite multiwavelets representation for the sparse solution of nonlinear Abel’s integral equation
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2022
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Elmira Ashpazzadeh
Yu‐Ming Chu
Mir Sajjad Hashemi
Mahsa Moharrami
Mustafa İnç
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On the Bounds of the Perimeter of an Ellipse
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2022
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Tie‐Hong Zhao
Miaokun Wang
Yu‐Ming Chu
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REVISITING FEJÉR–HERMITE–HADAMARD TYPE INEQUALITIES IN FRACTAL DOMAIN AND APPLICATIONS
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2022
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Saima Rashid
Aasma Khalid
Yeliz Karaca
Yu‐Ming Chu
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NEW GENERALIZATION INVOLVING CONVEX FUNCTIONS VIA ℏ-DISCRETE 𝒜ℬ-FRACTIONAL SUMS AND THEIR APPLICATIONS IN FRACTIONAL DIFFERENCE EQUATIONS
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2022
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Saima Rashid
Aasma Khalid
Yeliz Karaca
Zakia Hammouch
Yu‐Ming Chu
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Dynamical and nonstandard computational analysis of heroin epidemic model
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2022
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Ali Raza
Yu‐Ming Chu
Mohd Yazid Bajuri
Ali Ahmadian
Nauman Ahmed
Muhammad Rafiq
Soheil Salahshour
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DYNAMICAL ANALYSIS OF NONAUTONOMOUS <i>RLC</i> CIRCUIT WITH THE ABSENCE AND PRESENCE OF ATANGANA-BALEANU FRACTIONAL DERIVATIVE
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2022
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Sayed Allamah Iqbal
M. G. Hafez
Yu‐Ming Chu
Choonkil Park
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ON NONLINEAR EVOLUTION MODEL FOR DRINKING BEHAVIOR UNDER CAPUTO-FABRIZIO DERIVATIVE
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2022
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Fang Jin
Zi-Shan Qian
Yu‐Ming Chu
Mati ur Rahman
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On the generalized power-type Toader mean
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2022
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Tie‐Hong Zhao
Miao-Kun Wang
Ye-Qi Dai
Yu‐Ming Chu
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Optimal Lehmer mean bounds for the $n$th power-type Toader means of n=-1,1,3
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2022
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Tie‐Hong Zhao
Hong-Hu Chu
Yu‐Ming Chu
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Sharp inequalities for the Toader mean of order -1 in terms of other bivariate means
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2022
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Wei-Mao Qian
Hong-Hu Chu
Miao-Kun Wang
Yu‐Ming Chu
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Generalized Fractional Operator with Applications in Mathematical Physics
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2022
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Muhammad Samraiz
Ahsan Mehmood
Sajid Iqbal
Saima Naheed
Gauhar Rahman
Yu‐Ming Chu
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Some general Wilker-Huygens inequalities
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2022
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Tie‐Hong Zhao
Yu‐Ming Chu
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On G(σ, h)-Convexity of the Functions and Applications to Hermite-Hadamard’s Inequality
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2022
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Muhammad Uzair Awan
Muhammad Aslam Noor
Khalida Inayat Noor
Yu‐Ming Chu
Sara Ellahi
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Improved bounds for the Jensen gap with applications in information theory
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2022
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Khurshid Ahmad
Muhammad Adil Khan
Shahid Khan
Yu‐Ming Chu
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New properties for the Ramanujan <i>R</i>-function
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2022
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Chuan-Yu Cai
Luís Salinas
Ti-Ren Huang
Yu‐Ming Chu
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New weighted Hermite-Hadamard type inequalities for differentiable strongly convex and strongly quasi-convex mappings
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2022
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Muhammad Amer Latif
Yu‐Ming Chu
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Landen inequalities for Gaussian hypergeometric function
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2021
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Tie‐Hong Zhao
Miao-Kun Wang
Guo-Jing Hai
Yu‐Ming Chu
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Monotonicity and inequalities involving the modified Bessel functions of the second kind
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2021
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Zhen-Hang Yang
Yu‐Ming Chu
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Mathematical modeling and optimal control of the COVID-19 dynamics
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2021
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Zhonghua Shen
Yu‐Ming Chu
Muhammad Altaf Khan
Shabbir Muhammad
Omar A. Al‐Hartomy
M. Higazy
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Almost sectorial operators on Ψ‐Hilfer derivative fractional impulsive integro‐differential equations
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2021
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Kulandhivel Karthikeyan
P. Karthikeyan
Hacı Mehmet Başkonuş
Kuppusamy Venkatachalam
Yu‐Ming Chu
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Sharp bounds for the lemniscatic mean by the one-parameter geometric and quadratic means
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2021
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Hui-Zuo Xu
Wei-Mao Qian
Yu‐Ming Chu
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Construction of new exact solutions of the resonant fractional NLS equation with the extended Fan sub-equation method
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2021
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Kalim U. Tariq
E. Tala-Tebue
Hadi Rezazadeh
Muhammad Younis
Ahmet Bekir
Yu‐Ming Chu
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SOME RECENT DEVELOPMENTS ON DYNAMICAL ℏ-DISCRETE FRACTIONAL TYPE INEQUALITIES IN THE FRAME OF NONSINGULAR AND NONLOCAL KERNELS
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2021
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Saima Rashid
Elbaz I. Abouelmagd
Aasma Khalid
Fozia Bashir Farooq
Yu‐Ming Chu
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NUMERICAL SOLUTION OF TRAVELING WAVES IN CHEMICAL KINETICS: TIME-FRACTIONAL FISHERS EQUATIONS
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2021
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Fuzhang Wang
Muhammad Nawaz Khan
Imtiaz Ahmad
Hijaz Ahmad
Hanaa Abu-Zinadah
Yu‐Ming Chu
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NEW DEVELOPMENTS IN WEIGHTED n-FOLD TYPE INEQUALITIES VIA DISCRETE GENERALIZED ℏ̂-PROPORTIONAL FRACTIONAL OPERATORS
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2021
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Saima Rashid
Elbaz I. Abouelmagd
Sobia Sultana
Yu‐Ming Chu
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Application of water based drilling clay-nanoparticles in heat transfer of fractional Maxwell fluid over an infinite flat surface
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2021
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Muhammad Imran Asjad
Rizwan Ali
Azhar Iqbal
Taseer Muhammad
Yu‐Ming Chu
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SOME FURTHER EXTENSIONS CONSIDERING DISCRETE PROPORTIONAL FRACTIONAL OPERATORS
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2021
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Saima Rashid
Sobia Sultana
Yeliz Karaca
Aasma Khalid
Yu‐Ming Chu
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Sharp power mean bounds for the lemniscate type means
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2021
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Tie‐Hong Zhao
Zhonghua Shen
Yu‐Ming Chu
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On some new midpoint inequalities for the functions of two variables via quantum calculus
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2021
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Xuexiao You
Muhammad Aamir Ali
Samet Erden
Hüseyin Budak
Yu‐Ming Chu
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Inequalities for Generalized Grötzsch Ring Function
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2021
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Tie‐Hong Zhao
Barkat Ali Bhayo
Yu‐Ming Chu
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A Comparative Analysis of Nanofluid and Hybrid Nanofluid Flow Through Endoscope
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2021
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T. Salahuddin
Abdul Mosan Bashir
Mair Khan
Yu‐Ming Chu
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Mathematical analysis of HBV and HCV co-infection model under nonsingular fractional order derivative
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2021
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Weiyun Shen
Yu‐Ming Chu
Mati ur Rahman
Ibrahim Mahariq
Anwar Zeb
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Ostrowski-type inequalities for n-polynomial $\mathscr{P}$-convex function for k-fractional Hilfer–Katugampola derivative
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2021
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Samaira Naz
Muhammad Nawaz Naeem
Yu‐Ming Chu
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Matrix computational collocation approach based on rational Chebyshev functions for nonlinear differential equations
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2021
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Mohamed A. Abd El Salam
Mohamed A. Ramadan
Mahmoud A. Nassar
Praveen Agarwal
Yu‐Ming Chu
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Reachable set estimation and controller design for discrete‐time singularly perturbed systems with time‐varying delay
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2021
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Guobao Liu
Shengyuan Xu
Wenhui Liu
Yu‐Ming Chu
Zhengqiang Zhang
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Computation of complex fields of perturbed $$(2+1)$$-dimensional Schrödinger’s hyperbolic equation
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2021
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Adil Jhangeer
Muhammad Muddassar
Mustafa İnç
Maryam Kousar
Yu‐Ming Chu
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New numerical approach for time-fractional partial differential equations arising in physical system involving natural decomposition method
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2021
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Saima Rashid
Khadiza Tul Kubra
Asia Rauf
Yu‐Ming Chu
Y. S. Hamed
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Extension of the sine-Gordon expansion scheme and parametric effect analysis for higher-dimensional nonlinear evolution equations
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2021
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Yu‐Ming Chu
Md. Rezwan Ahamed Fahim
Purobi Rani Kundu
Md. Tarikul Islam
M. Ali Akbar
Mustafa İnç
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On approximating the arc lemniscate functions
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2021
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Tie‐Hong Zhao
Wei-Mao Qian
Yu‐Ming Chu
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On the approximation of some special functions in Ramanujan’s generalized modular equation with signature 3$$^{*}$$
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2021
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Miao-Kun Wang
Hong-Hu Chu
Yu‐Ming Chu
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Extensions of Hermite–Hadamard inequalities for harmonically convex functions via generalized fractional integrals
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2021
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Xuexiao You
Muhammad Aamir Ali
Hüseyin Budak
Praveen Agarwal
Yu‐Ming Chu
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A unified approach for novel estimates of inequalities via discrete fractional calculus techniques
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2021
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Samaira Naz
Yu‐Ming Chu
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Editorial Expression of Concern: On approximating Mills ratio
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2021
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Zhen-Hang Yang
Yu‐Ming Chu
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Reliable methods to look for analytical and numerical solutions of a nonlinear differential equation arising in heat transfer with the conformable derivative
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2021
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K. Hosseini
Khadijeh Sadri
Mohammad Mirzazadeh
Ali Ahmadian
Yu‐Ming Chu
Soheil Salahshour
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Functional inequalities for Gaussian hypergeometric function and generalized elliptic integral of the first kind
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2021
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Shenyang Tan
Ti-Ren Huang
Yu‐Ming Chu
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A novel fractional mathematical model of COVID-19 epidemic considering quarantine and latent time
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2021
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Prashant Pandey
Yu‐Ming Chu
J.F. Gómez‐Aguilar
Hadi Jahanshahi
Ayman A. Aly
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TRACKING CONTROL AND STABILIZATION OF A FRACTIONAL FINANCIAL RISK SYSTEM USING NOVEL ACTIVE FINITE-TIME FAULT-TOLERANT CONTROLS
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2021
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Bo Wang
Hadi Jahanshahi
Stelios Bekiros
Yu‐Ming Chu
J.F. Gómez‐Aguilar
Fawaz E. Alsaadi
Madini O. Alassafi
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Some engineering applications of newly constructed algorithms for one-dimensional non-linear equations and their fractal behavior
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2021
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Amir Naseem
Muhammad Aziz‐ur Rehman
Thabet Abdeljawad
Yu‐Ming Chu
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Post-quantum Hermite–Hadamard type inequalities for interval-valued convex functions
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2021
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Muhammad Aamir Ali
Hüseyin Budak
Ghulam Murtaza
Yu‐Ming Chu
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A new generalization of some quantum integral inequalities for quantum differentiable convex functions
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2021
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Yi-Xia Li
Muhammad Aamir Ali
Hüseyin Budak
Mujahid Abbas
Yu‐Ming Chu
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Transformation Properties of Hypergeometric Functions and Their Applications
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2021
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Song-Liang Qiu
Xiao-Yan Ma
Yu‐Ming Chu
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Sensitive visualization of the fractional wazwaz-benjamin-bona-mahony equation with fractional derivatives: A comparative analysis
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2021
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Nauman Raza
Adil Jhangeer
Riaz Ur Rahman
Asma Rashid Butt
Yu‐Ming Chu
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A novel comprehensive analysis on generalized harmonically <i>ψ</i>‐convex with respect to Raina's function on fractal set with applications
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2021
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Yu‐Ming Chu
Saima Rashid
Jagdev Singh
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On new generalized unified bounds via generalized exponentially harmonically s-convex functions on fractal sets
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2021
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Yu‐Ming Chu
Saima Rashid
Thabet Abdeljawad
Aasma Khalid
Humaira Kalsoom
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Sharp Bounds for Toader-Type Means in Terms of Two-Parameter Means
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2021
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Yue-Ying Yang
Wei-Mao Qian
Hongwei Zhang
Yu‐Ming Chu
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Influence of hybrid nanofluids and heat generation on coupled heat and mass transfer flow of a viscous fluid with novel fractional derivative
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2021
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Yu‐Ming Chu
Muhammad Ikram
Muhammad Imran Asjad
Ali Ahmadian
Ferial Ghaemi
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A COMPARATIVE STUDY OF SEMI-ANALYTICAL METHODS FOR SOLVING FRACTIONAL-ORDER CAUCHY REACTION–DIFFUSION EQUATION
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2021
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Yu‐Ming Chu
Nehad Ali Shah
Hijaz Ahmad
Jae Dong Chung
S. M. Khaled
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Approximations for the complete elliptic integral of the second $$\hbox {Kind}$$
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2021
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Wei-Mao Qian
Miao-Kun Wang
Hui-Zuo Xu
Yu‐Ming Chu
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An investigation to the nonlinear (2 + 1)-dimensional soliton equation for discovering explicit and periodic wave solutions
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2021
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Mahbub Chowdhury
M. Mamun Miah
H. M. Shahadat Ali
Yu‐Ming Chu
M.S. Osman
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The dynamics of fractional order Hepatitis B virus model with asymptomatic carriers
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2021
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Nadia Gul
Rubi Bilal
Ebrahem A. Algehyne
Maryam G. Alshehri
Muhammad Altaf Khan
Yu‐Ming Chu
Saeed Islam
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The Analysis of Fractional-Order Helmholtz Equations via a Novel Approach
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2021
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Pongsakorn Sunthrayuth
Zeyad Al–Zhour
Yu‐Ming Chu
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On Reverse Degree Based Topological Indices of Polycyclic Metal Organic Network
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2021
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Dongming Zhao
Yu‐Ming Chu
Muhammad Kamran Siddiqui
Kashif Ali
Muhammad Nasir
Muhammad Tayyab Younas
Murat Cancan
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New Hermite–Hadamard-type inequalities for "Equation missing"<!-- No EquationSource Format="TEX", only image -->-convex fuzzy-interval-valued functions
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2021
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Muhammad Bilal Khan
Muhammad Aslam Noor
Khalida Inayat Noor
Yu‐Ming Chu
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Analytical survey of the predator–prey model with fractional derivative order
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2021
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Souleymanou Abbagari
Alphonse Houwe
Youssoufa Saliou
Douvagaï
Yu‐Ming Chu
Mustafa İnç
Hadi Rezazadeh
Serge Y. Doka
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The refinement-schemes-based unified algorithms for certain nth order linear and nonlinear differential equations with a set of constraints
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2021
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Syeda Tehmina Ejaz
Ghulam Mustafa
Dumitru Băleanu
Yu‐Ming Chu
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A new generalized Hilfer-type fractional derivative with applications to space-time diffusion equation
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2021
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Tahir Ullah Khan
Muhammad Adil Khan
Yu‐Ming Chu
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Artificial macro-economics: A chaotic discrete-time fractional-order laboratory model
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2021
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Yu‐Ming Chu
Stelios Bekiros
Ernesto Zambrano-Serrano
Onofre Orozco-López
Salim Lahmiri
Hadi Jahanshahi
Ayman A. Aly
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Study of inequalities for unified integral operators of generalized convex functions
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2021
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Ghulam Farid
Kahkashan Mahreen
Yu‐Ming Chu
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Mathematical analysis of a within-host model of SARS-CoV-2
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2021
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Bhagya Jyoti Nath
Kaushik Dehingia
Vishnu Narayan Mishra
Yu‐Ming Chu
Hemanta Kumar Sarmah
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The unified method for abundant soliton solutions of local time fractional nonlinear evolution equations
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2021
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Nauman Raza
Muhammad Rafiq
Melike Kaplan
Sunil Kumar
Yu‐Ming Chu
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Comparative study of generalized couette flow of couple stress fluid using optimal homotopy asymptotic method and new iterative method
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2021
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Muhammad Farooq
Alamgeer Khan
Rashid Nawaz
Saeed Islam
Muhammad Ayaz
Yu‐Ming Chu
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Weighted Hermite–Hadamard type inclusions for products of co-ordinated convex interval-valued functions
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2021
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Hasan Kara
Hüseyin Budak
Muhammad Aamir Ali
Mehmet Zeki Sarıkaya
Yu‐Ming Chu
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Analysis of fractional multi-dimensional Navier–Stokes equation
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2021
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Yu‐Ming Chu
Nehad Ali Shah
Praveen Agarwal
Jae Dong Chung
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On Zagreb Type Molecular Descriptors of Ceria Oxide and Their Applications
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2021
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Yu‐Ming Chu
Muhammad Kamran Siddiqui
Sana Javed
Lubna Sherin
Farah Kausar
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Reproducing kernel Hilbert space method for nonlinear second order singularly perturbed boundary value problems with time-delay
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2021
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Shubo Chen
Samaneh Soradi‐Zeid
Hemen Dutta
Mehdi Mesrizadeh
Hadi Jahanshahi
Yu‐Ming Chu
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New quantum boundaries for quantum Simpson’s and quantum Newton’s type inequalities for preinvex functions
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2021
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Muhammad Aamir Ali
Mujahid Abbas
Hüseyin Budak
Praveen Agarwal
Ghulam Murtaza
Yu‐Ming Chu
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A unifying computational framework for novel estimates involving discrete fractional calculus approaches
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2021
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Saima Rashid
Yu‐Ming Chu
Jagdev Singh
Devendra Kumar
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Combination of<scp>Shehu</scp>decomposition and variational iteration transform methods for solving fractional third order dispersive partial differential equations
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2021
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Yu‐Ming Chu
Ehab Hussein Bani Hani
Essam R. El‐Zahar
Abdelhalim Ebaid
Nehad Ali Shah
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Modeling of pressure–volume controlled artificial respiration with local derivatives
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2021
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Bahar Acay
Mustafa İnç
Yu‐Ming Chu
Bandar Almohsen
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NEW NEWTON’S TYPE ESTIMATES PERTAINING TO LOCAL FRACTIONAL INTEGRAL VIA GENERALIZED p-CONVEXITY WITH APPLICATIONS
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2021
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Yongmin Li
Saima Rashid
Zakia Hammouch
Dumitru Băleanu
Yu‐Ming Chu
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NEW COMPUTATIONS OF OSTROWSKI-TYPE INEQUALITY PERTAINING TO FRACTAL STYLE WITH APPLICATIONS
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2021
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Maysaa Al Qurashi
Saima Rashid
Aasma Khalid
Yeliz Karaca
Yu‐Ming Chu
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ACHIEVING MORE PRECISE BOUNDS BASED ON DOUBLE AND TRIPLE INTEGRAL AS PROPOSED BY GENERALIZED PROPORTIONAL FRACTIONAL OPERATORS IN THE HILFER SENSE
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2021
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Maysaa Al-Qurashi
Saima Rashid
Yeliz Karaca
Zakia Hammouch
Dumitru Băleanu
Yu‐Ming Chu
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NEW MULTI-FUNCTIONAL APPROACH FOR κTH-ORDER DIFFERENTIABILITY GOVERNED BY FRACTIONAL CALCULUS VIA APPROXIMATELY GENERALIZED (ψ, ℏ)-CONVEX FUNCTIONS IN HILBERT SPACE
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2021
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Miao-Kun Wang
Saima Rashid
Yeliz Karaca
Dumitru Băleanu
Yu‐Ming Chu
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ON THE APPROXIMATE SOLUTIONS FOR A SYSTEM OF COUPLED KORTEWEG–DE VRIES EQUATIONS WITH LOCAL FRACTIONAL DERIVATIVE
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2021
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Hossein Jafari
Hassan Kamil Jassim
Dumitru Băleanu
Yu‐Ming Chu
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$(\mathrm{p},\mathrm{q})$-Analysis of Montgomery identity and estimates of $(\mathrm{p},\mathrm{q})$-bounds with applications
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2021
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Yu‐Ming Chu
Sadia Talib
Erhan Set
Muhammad Uzair Awan
Muhammad Aslam Noor
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New solitary wave solutions to the coupled Maccari’s system
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2021
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Javad Vahidi
Sayyed Masood Zekavatmand
Hadi Rezazadeh
Mustafa İnç
Mehmet Ali Akınlar
Yu‐Ming Chu
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Refinements of two fractional versions of Hadamard inequalities for Caputo fractional derivatives and related results
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2021
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Ghulam Farid
Atiq ur Rehman
Sidra Bibi
Yu‐Ming Chu
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Monotonicity and convexity involving generalized elliptic integral of the first kind
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2021
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Tie‐Hong Zhao
Miao-Kun Wang
Yu‐Ming Chu
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Quantum variant of Montgomery identity and Ostrowski-type inequalities for the mappings of two variables
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2021
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Muhammad Aamir Ali
Yu‐Ming Chu
Hüseyin Budak
Abdullah Akkurt
Hüseyin Yıldırım
Manzoor Ahmed Zahid
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Some k-fractional extension of Grüss-type inequalities via generalized Hilfer–Katugampola derivative
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2021
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Samaira Naz
Muhammad Nawaz Naeem
Yu‐Ming Chu
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Refinements of some integral inequalities for unified integral operators
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2021
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C.Y. Jung
Ghulam Farid
Maja Andrić
Josip Pečarić
Yu‐Ming Chu
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Quantum Hermite–Hadamard-type inequalities for functions with convex absolute values of second $q^{b}$-derivatives
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2021
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Muhammad Aamir Ali
Hüseyin Budak
Mujahid Abbas
Yu‐Ming Chu
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Dynamics of fractional order COVID-19 model with a case study of Saudi Arabia
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2021
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Yu‐Ming Chu
Aatif Ali
Muhammad Altaf Khan
Saeed Islam
Saif Ullah
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Degree- and irregularity-based molecular descriptors for benzenoid systems
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2021
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Yu‐Ming Chu
K. Julietraja
P. Venugopal
Muhammad Kamran Siddiqui
S. Prabhu
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Diverse novel analytical and semi-analytical wave solutions of the generalized (2+1)-dimensional shallow water waves model
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2021
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Yu‐Ming Chu
Mostafa M. A. Khater
Y. S. Hamed
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New estimation of Zipf–Mandelbrot and Shannon entropies via refinements of Jensen’s inequality
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2021
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Khurshid Ahmad
Muhammad Adil Khan
Shahid Khan
Amjad Ali
Yu‐Ming Chu
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Spherical Linear Diophantine Fuzzy Sets with Modeling Uncertainties in MCDM
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2021
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Muhammad Riaz
Masooma Raza Hashmi
Dragan Pamučar
Yu‐Ming Chu
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Analysis of couple stress fluid flow with variable viscosity using two homotopy-based methods
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2021
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Alamgeer Khan
Muhammad Farooq
Rashid Nawaz
Muhammad Ayaz
Hijaz Ahmad
Hanaa Abu-Zinadah
Yu‐Ming Chu
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Some New Classes of Preinvex Fuzzy-Interval-Valued Functions and Inequalities
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2021
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Muhammad Bilal Khan
Muhammad Aslam Noor
Lazim Abdullah
Yu‐Ming Chu
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Irregular topological indices of certain metal organic frameworks
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2021
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Yu‐Ming Chu
Muhammad Abid
Muhammad Imran Qureshi
Asfand Fahad
Adnan Aslam
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Szeged-type indices of subdivision vertex-edge join (SVE-join)
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2021
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Syed Sheraz Asghar
Muhammad Ahsan Binyamin
Yu‐Ming Chu
Shehnaz Akhtar
Mehar Ali Malik
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More new results on integral inequalities for generalized $ \mathcal{K} $-fractional conformable Integral operators
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2021
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Yu‐Ming Chu
Saima Rashid
Fahd Jarad
Muhammad Aslam Noor
Humaira Kalsoom
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On topological descriptors of ceria oxide and their applications
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2021
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Muhammad Kamran Siddiqui
Yu‐Ming Chu
Muhammad Nasir
Muhammad Faisal Nadeem
Muhammad Farhan Hanif
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Quantum Ostrowski-type inequalities for twice quantum differentiable functions in quantum calculus
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2021
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Muhammad Aamir Ali
Hüseyin Budak
Abdullah Akkurt
Yu‐Ming Chu
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On some new quantum midpoint-type inequalities for twice quantum differentiable convex functions
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2021
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Muhammad Aamir Ali
Necmettin Alp
Hüseyin Budak
Yu‐Ming Chu
Zhiyue Zhang
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Harmonically Convex Fuzzy-Interval-Valued Functions and Fuzzy-Interval Riemann–Liouville Fractional Integral Inequalities
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2021
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Gul Sana
Muhammad Bilal Khan
Muhammad Aslam Noor
Pshtiwan Othman Mohammed
Yu‐Ming Chu
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On post quantum integral inequalities
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2021
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Muhammad Uzair Awan
Sadia Talib
Muhammad Aslam Noor
Khalida Inayat Noor
Yu‐Ming Chu
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Novel Iteration Schemes for Computing Zeros of Non-Linear Equations With Engineering Applications and Their Dynamics
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2021
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Amir Naseem
M. A. Rehman
Thabet Abdeljawad
Yu‐Ming Chu
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Bounding the Sándor-Yang means for the combinations of contraharmonic and arithmetic means
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2021
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Wei-Mao Qian
Hui-Zuo Xu
Zai-Yin He
Yu‐Ming Chu
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Higher-Order Strongly Preinvex Fuzzy Mappings and Fuzzy Mixed Variational-Like Inequalities
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2021
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Muhammad Bilal Khan
Muhammad Aslam Noor
Khalida Inayat Noor
Yu‐Ming Chu
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Concavity and bounds involving generalized elliptic integral of the first kind
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2021
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Tie‐Hong Zhao
Miao-Kun Wang
Yu‐Ming Chu
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Quantum estimates in two variable forms for Simpson-type inequalities considering generalized Ψ-convex functions with applications
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2021
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Yu‐Ming Chu
Asia Rauf
Saima Rashid
Safeera Batool
Y. S. Hamed
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New quantum integral inequalities for some new classes of generalized<i>ψ</i>-convex functions and their scope in physical systems
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2021
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Saima Rashid
Saima Parveen
Hijaz Ahmad
Yu‐Ming Chu
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Generalized Hermite-Hadamard type inequalities for differentiable harmonically-convex and harmonically quasi-convex functions
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2021
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Muhammad Amer Latif
Sabir Hussain
Yu‐Ming Chu
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The sharp bounds of Zagreb indices on connected graphs
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2021
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Yu‐Ming Chu
Muhammad Kashif Shafiq
Muhammad Imran
Muhammad Kamran Siddiqui
Hafiz Muhammad Afzal Siddiqui
Shakila Baby
Murat Cancan
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A necessary and sufficient condition for the convexity of the one-parameter generalized inverse trigonometric sine function according to power mean
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2021
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Miao-Ying Hong
Miao-Kun Wang
Yu‐Ming Chu
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On analysis of thermodynamic properties of cuboctahedral bi-metallic structure
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2021
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Muhammad Kamran Siddiqui
Yu‐Ming Chu
Muhammad Nasir
Murat Cancan
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Refinements of quantum Hermite-Hadamard-type inequalities
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2021
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Hüseyin Budak
Sundas Khan
Muhammad Aamir Ali
Yu‐Ming Chu
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Fractional Hermite-Hadamard-type inequalities for interval-valued co-ordinated convex functions
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2021
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Hüseyin Budak
Hasan Kara
Muhammad Aamir Ali
Sundas Khan
Yu‐Ming Chu
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Sharp power mean bounds for the tangent and hyperbolic sine means
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2021
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Tie‐Hong Zhao
Yu‐Ming Chu
Wei-Mao Qian
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Prabhakar fractional derivative and its applications in the transport phenomena containing nanoparticles
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2021
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Muhammad Imran Asjad
Muhammad Zahid
Yu‐Ming Chu
Dumitru Băleanu
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On multi-step methods for singular fractional <i>q</i>-integro-differential equations
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2021
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Sayyedeh Narges Hajiseyedazizi
Mohammad Esmael Samei
Jehad Alzabut
Yu‐Ming Chu
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Fractional model of second grade fluid induced by generalized thermal and molecular fluxes with constant proportional caputo
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2021
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Yu‐Ming Chu
Mushtaq Ahmad
Muhammad Imran
Dumitru Băleanu
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Stochastic COVID-19 Model Influenced by Non-Gaussian Noise
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2021
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Almaz Tesfay
Anwar Zeb
Yu‐Ming Chu
Ali Ahmadian
Soheil Salahshour
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Topological Study of Polycyclic Graphite Carbon Nitride
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2020
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Yu‐Ming Chu
Mehwish Hussain Muhammad
Abdul Rauf
Muhammad Ishtiaq
Muhammad Kamran Siddiqui
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Exact solutions of the Laplace fractional boundary value problems via natural decomposition method
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2020
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Hajira Mabood
Hassan Khan
Yu‐Ming Chu
Rasool Shah
Dumitru Băleanu
Muhammad Arif
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OPTIMAL CONTROL OF NONLINEAR TIME-DELAY FRACTIONAL DIFFERENTIAL EQUATIONS WITH DICKSON POLYNOMIALS
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2020
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Shubo Chen
Samaneh Soradi‐Zeid
M. Alipour
Yu‐Ming Chu
J.F. Gómez‐Aguilar
Hadi Jahanshahi
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A novel method for nonlinear singular oscillators
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2020
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Ali Akgül
Hijaz Ahmad
Yu‐Ming Chu
Phatiphat Thounthong
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Fundamental solutions for the long–short-wave interaction system
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2020
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Mustafa İnç
S. Z. Hassan
Mahmoud A. E. Abdelrahman
R. A. Alomair
Yu‐Ming Chu
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New algorithm for the approximate solution of generalized seventh order Korteweg-Devries equation arising in shallow water waves
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2020
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Laiq Zada
Rashid Nawaz
Muhammad Ayaz
Hijaz Ahmad
Hussam Alrabaiah
Yu‐Ming Chu
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Numerical solution of two-term time-fractional PDE models arising in mathematical physics using local meshless method
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2020
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Junfeng Li
Imtiaz Ahmad
Hijaz Ahmad
Dawood Shah
Yu‐Ming Chu
Phatiphat Thounthong
Muhammad Ayaz
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New Computation of Unified Bounds via a More General Fractional Operator Using Generalized Mittag–Leffler Function in the Kernel
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2020
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Saima Rashid
Zakia Hammouch
Rehana Ashraf
Yu‐Ming Chu
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On the flow of MHD generalized maxwell fluid via porous rectangular duct
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2020
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Aamir Farooq
M. Kamran
Yasir Bashir
Hijaz Ahmad
Azeem Shahzad
Yu‐Ming Chu
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Numerical Approximation of Fractional-Order Volterra Integrodifferential Equation
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2020
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Xiaoli Qiang
Kamran Kamran
Abid Mahboob
Yu‐Ming Chu
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Extension of optimal homotopy asymptotic method with use of Daftardar–Jeffery polynomials to Hirota–Satsuma coupled system of Korteweg–de Vries equations
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2020
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Zawar Hussain
Shahid Khan
Asad Ullah
Ikramullah Ikramullah
Muhammad Ayaz
Imtiaz Ahmad
Wali Khan Mashwani
Yu‐Ming Chu
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Application of Modified Extended Tanh Technique for solving Complex Ginzburg-Landau Equation considering Kerr Law Nonlinearity
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2020
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Yu‐Ming Chu
Muhannad A. Shallal
Seyed Mehdi Mirhosseini-Alizamini
Hadi Rezazadeh
Shumaila Javeed
Dumitru Băleanu
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Heat and mass transport investigation in radiative and chemically reacting fluid over a differentially heated surface and internal heating
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2020
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Yu‐Ming Chu
Adnan Abbasi
Umar Khan
Naveed Ahmed
Syed Tauseef Mohyud‐Din
Ilyas Khan
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On Topological Analysis of Graphite Carbon Nitride via Degree Based Coindices
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2020
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Mehwish Hussain Muhammad
Yu‐Ming Chu
Xiaolan Chen
Lingbo Qu
Bing Yu
Muhammad Kamran Siddiqui
Muhammad Nasir
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Degree-Based Topological Aspects of Polyphenylene Nanostructures
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2020
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Yu‐Ming Chu
Muhammad Numan
Saad Ihsan Butt
Muhammad Kamran Siddiqui
Rizwan Ullah
Murat Cancan
Usman Ali
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Numerical simulation of advection–diffusion equation with caputo-fabrizio time fractional derivative in cylindrical domains: Applications of pseudo-spectral collocation method
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2020
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Qammar Rubbab
Mubbashar Nazeer
Fayyaz Ahmad
Yu‐Ming Chu
M. Ijaz Khan
Seifedine Kadry
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Fractional residual power series method for the analytical and approximate studies of fractional physical phenomena
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2020
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Gamal M. Ismail
H.R. Abdl-Rahim
Hijaz Ahmad
Yu‐Ming Chu
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On n-polynomial p-convex functions and some related inequalities
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2020
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Choonkil Park
Yu‐Ming Chu
Muhammad Shoaib Saleem
Nazia Jahangir
Nasir Rehman
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Certain Generalized Quantum Simpson's and Quantum Newton's type Inequalities for Convex Functions in Quantum Calculus
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2020
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Muhammad Aamir Ali
Hüseyin Budak
Praveen Agarwal
Yu‐Ming Chu
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Distance Measurements Related to Cartesian Product of Cycles
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2020
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Xiaoli Qiang
Saima Nazeer
Yu‐Ming Chu
Muhammad Awais Umar
Imrana Kousar
Ammara Sehar
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Refinements of Some Integral Inequalities for <math xmlns="http://www.w3.org/1998/Math/MathML" id="M1"> <mi>φ</mi> </math>-Convex Functions
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2020
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Moquddsa Zahra
Yu‐Ming Chu
Ghulam Farid
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Generalized trapezium-type inequalities in the settings of fractal sets for functions having generalized convexity property
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2020
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Zareen A. Khan
Saima Rashid
Rehana Ashraf
Dumitru Băleanu
Yu‐Ming Chu
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Antiretroviral therapy of HIV infection using a novel optimal type-2 fuzzy control strategy
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2020
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Shubo Chen
Farhad Rajaee
Amin Yousefpour
Raúl Alcaraz
Yu‐Ming Chu
J.F. Gómez‐Aguilar
Stelios Bekiros
Ayman A. Aly
Hadi Jahanshahi
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H-Coverings of Path-Amalgamated Ladders and Fans
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2020
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Yijun Xiong
Huajun Wang
Muhammad Awais Umar
Yu‐Ming Chu
Basharat Rehman Ali
Maria Naseem
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Refinements of Some Integral Inequalities for<math xmlns="http://www.w3.org/1998/Math/MathML" id="M1"><mfenced open="(" close=")" separators="|"><mrow><mi>s</mi><mo>,</mo><mi>m</mi></mrow></mfenced></math>-Convex Functions
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2020
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Ghulam Farid
Yu‐Ming Chu
Maja Andrić
C.Y. Jung
Josip Pečarić
Shin Min Kang
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Integral inequalities via Raina’s fractional integrals operator with respect to a monotone function
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2020
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Shubo Chen
Saima Rashid
Zakia Hammouch
Muhammad Aslam Noor
Rehana Ashraf
Yu‐Ming Chu
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Sharp Bounds for the Weighted Hölder Mean of the Zero-Balanced Generalized Complete Elliptic Integrals
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2020
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Tie‐Hong Zhao
Zai-Yin He
Yu‐Ming Chu
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New post quantum analogues of Ostrowski-type inequalities using new definitions of left–right $(p,q)$-derivatives and definite integrals
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2020
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Yu‐Ming Chu
Muhammad Uzair Awan
Sadia Talib
Muhammad Aslam Noor
Khalida Inayat Noor
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New Hermite–Jensen–Mercer-type inequalities via k-fractional integrals
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2020
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Saad Ihsan Butt
Muhammad Umar
Saima Rashid
Ahmet Ocak Akdemi̇r
Yu‐Ming Chu
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Numerical simulation and modeling of entropy generation in Marangoni convective flow of nanofluid with activation energy
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2020
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M. Ijaz Khan
Sumaira Qayyum
Yu‐Ming Chu
Seifedine Kadry
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New Estimates for Csiszár Divergence and Zipf–Mandelbrot Entropy via Jensen–Mercer’s Inequality
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2020
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Muhammad Adil Khan
Z. Husain
Yu‐Ming Chu
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Post-quantum Hermite-Hadamard inequalities involving newly defined (p,q)-integral
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2020
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Muhammad Aamir Ali
Hüseyin Budak
Humaira Kalsoom
Yu‐Ming Chu
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Some New Postquantum Integral Inequalities
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2020
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Yu‐Ming Chu
Muhammad Uzair Awan
Sadia Talib
Sabah Iftikhar
Latifa Riahi
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New Exact Solutions of Kolmogorov Petrovskii Piskunov Equation, Fitzhugh Nagumo Equation, and Newell-Whitehead Equation
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2020
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Yu‐Ming Chu
Shumaila Javeed
Dumitru Băleanu
Sidra Riaz
Hadi Rezazadeh
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Generalized Fractional Hadamard and Fejér–Hadamard Inequalities for Generalized Harmonically Convex Functions
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2020
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C.Y. Jung
Muhammad Yussouf
Yu‐Ming Chu
Ghulam Farid
Shin Min Kang
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Some numerical solutions of local fractional tricomi equation in fractal transonic flow
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2020
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Mustafa İnç
Zeliha Körpınar
Bandar Almohsen
Yu‐Ming Chu
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On M-polynomial-based topological descriptors of chemical crystal structures and their applications
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2020
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Yu‐Ming Chu
Muhammad Imran
Abdul Qudair Baig
Shehnaz Akhter
Muhammad Kamran Siddiqui
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Second-Order Differential Equation: Oscillation Theorems and Applications
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2020
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Shyam Sundar Santra
Omar Bazighifan
Hijaz Ahmad
Yu‐Ming Chu
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New Simpson Type Integral Inequalities for <math xmlns="http://www.w3.org/1998/Math/MathML" id="M1"> <mi>s</mi> </math>-Convex Functions and Their Applications
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2020
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Artion Kashuri
Pshtiwan Othman Mohammed
Thabet Abdeljawad
Faraidun K. Hamasalh
Yu‐Ming Chu
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Optimal Control of Time-Delay Fractional Equations via a Joint Application of Radial Basis Functions and Collocation Method
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2020
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Shubo Chen
Samaneh Soradi‐Zeid
Hadi Jahanshahi
Raúl Alcaraz
J.F. Gómez‐Aguilar
Stelios Bekiros
Yu‐Ming Chu
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The Numerical Invariants concerning the Total Domination for Generalized Petersen Graphs
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2020
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Taiyin Zhao
Gohar Ali
Nabila Hameed
Syed İnayat Ali Shah
Yu‐Ming Chu
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RETRACTED ARTICLE: Hermite–Hadamard-type inequalities for $\eta _{h}$-convex functions via ψ-Riemann–Liouville fractional integrals
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2020
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Choonkil Park
Yu‐Ming Chu
Muhammad Shoaib Saleem
Sana Mukhtar
Nasir Rehman
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Generalizations of Hermite–Hadamard like inequalities involving $\chi _{{\kappa }}$-Hilfer fractional integrals
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2020
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Yu‐Ming Chu
Muhammad Uzair Awan
Sadia Talib
Muhammad Aslam Noor
Khalida Inayat Noor
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On Ve-Degree and Ev-Degree Based Topological Properties of H-Naphtalenic Nanotube
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2020
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Yu‐Ming Chu
Muhammad Kamran Siddiqui
Muhammad Farhan Hanif
Abdul Rauf
Muhammad Ishtiaq
Mehwish Hussain Muhammad
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On Discrete Fractional Integral Inequalities for a Class of Functions
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2020
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Saima Rashid
Hijaz Ahmad
Aasma Khalid
Yu‐Ming Chu
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Analytic wave solutions of beta space fractional Burgers equation to study the interactions of multi-shocks in thin viscoelastic tube filled
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2020
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Sharmin Akter
M. G. Hafez
Yu‐Ming Chu
Md. Delowar Hossain
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Fractal Ion Acoustic Waves of the Space-Time Fractional Three Dimensional KP Equation
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2020
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M.A. Abdou
Saud Owyed
S. Saha Ray
Yu‐Ming Chu
Mustafa İnç
Loubna Ouahid
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Existence and Uniqueness of Uncertain Fractional Backward Difference Equations of Riemann–Liouville Type
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2020
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Pshtiwan Othman Mohammed
Thabet Abdeljawad
Fahd Jarad
Yu‐Ming Chu
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New Estimates for the Jensen Gap Using s-Convexity With Applications
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2020
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Muhammad Adil Khan
Shahid Khan
Yu‐Ming Chu
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A new q-integral identity and estimation of its bounds involving generalized exponentially μ-preinvex functions
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2020
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Muhammad Uzair Awan
Sadia Talib
Artion Kashuri
Muhammad Aslam Noor
Khalida Inayat Noor
Yu‐Ming Chu
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A novel approach to the Jensen gap through Taylor's theorem
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2020
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Muhammad Adil Khan
Shahid Khan
Inam Ullah
Khuram Ali Khan
Yu‐Ming Chu
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Invariants of <i>BT[p,q]</i>, <i>BT(X)[p,q]</i> and <i>BT(Y)[p,q]</i>
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2020
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Yu‐Jie Huang
Abaid ur Rehman Virk
Yu‐Ming Chu
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A new analyzing technique for nonlinear time fractional Cauchy reaction-diffusion model equations
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2020
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Hijaz Ahmad
Tufail A. Khan
Imtiaz Ahmad
Predrag S. Stanimirović
Yu‐Ming Chu
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On Topological Co-Indices of Polycyclic Tetrathiafulvalene and Polycyclic Oragano Silicon Dendrimers
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2020
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Yu‐Ming Chu
Muhammad Kamran Siddiqui
Muhammad Nasir
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On post quantum estimates of upper bounds involving twice $(p,q)$-differentiable preinvex function
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2020
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Muhammad Uzair Awan
Sadia Talib
Muhammad Aslam Noor
Yu‐Ming Chu
Khalida Inayat Noor
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Heat transfer flow of Maxwell hybrid nanofluids due to pressure gradient into rectangular region
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2020
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Yu‐Ming Chu
Rizwan Ali
Muhammad Imran Asjad
Ali Ahmadian
Norazak Senu
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New Perspective on the Conventional Solutions of the Nonlinear Time-Fractional Partial Differential Equations
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2020
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Hijaz Ahmad
Ali Akgül
Tufail A. Khan
Predrag S. Stanimirović
Yu‐Ming Chu
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Modified Variational Iteration Algorithm-II: Convergence and Applications to Diffusion Models
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2020
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Hijaz Ahmad
Tufail A. Khan
Predrag S. Stanimirović
Yu‐Ming Chu
Imtiaz Ahmad
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New fractional approaches for n-polynomial P-convexity with applications in special function theory
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2020
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Shubo Chen
Saima Rashid
Muhammad Aslam Noor
Zakia Hammouch
Yu‐Ming Chu
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On Zagreb-type molecular descriptors of vanadium carbide and their applications
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2020
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Yu‐Ming Chu
Asma Khalid
Saiqa Feroz Khan
Muhammad Kamran Siddiqui
Mehwish Hussain Muhammad
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Some New Bounds of Weighted Graph Entropies with GA and Gaurava Indices Edge Weights
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2020
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WU Tie-jun
Hafiz Mutee ur Rehman
Yu‐Ming Chu
Deeba Afzal
Jianfeng Yu
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The effect of market confidence on a financial system from the perspective of fractional calculus: Numerical investigation and circuit realization
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2020
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Shubo Chen
Hadi Jahanshahi
Oumate Alhadji Abba
J.E. Solís-Pérez
Stelios Bekiros
J.F. Gómez‐Aguilar
Amin Yousefpour
Yu‐Ming Chu
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Study of hybrid orthonormal functions method for solving second kind fuzzy Fredholm integral equations
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2020
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Praveen Agarwal
Mohamed A. Ramadan
Heba S. Osheba
Yu‐Ming Chu
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Sharp bounds for the Toader mean of order 3 in terms of arithmetic, quadratic and contraharmonic means
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2020
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Hong-Hu Chu
Tie‐Hong Zhao
Yu‐Ming Chu
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On Generalized Strongly <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mi>p</mml:mi></mml:math>-Convex Functions of Higher Order
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2020
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Muhammad Shoaib Saleem
Yu‐Ming Chu
Nazia Jahangir
Huma Akhtar
C.Y. Jung
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On the Analytical and Numerical Solutions in the Quantum Magnetoplasmas: The Atangana Conformable Derivative (<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mn>1</mml:mn><mml:mo>+</mml:mo><mml:mn>3</mml:mn></mml:math>)-ZK Equation with Power-Law Nonlinearity
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2020
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Mostafa M. A. Khater
Yu‐Ming Chu
Raghda A. M. Attia
Mustafa İnç
Dianchen Lu
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Distance‐based invariants of zigzag polyhex nanotube
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2020
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Haseeb Ahmad
Muhammad Hussain
Waqas Nazeer
Yu‐Ming Chu
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Fractional inclusions of the Hermite–Hadamard type for m-polynomial convex interval-valued functions
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2020
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Eze R. Nwaeze
Muhammad Adil Khan
Yu‐Ming Chu
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Some new Simpson-type inequalities for generalized p-convex function on fractal sets with applications
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2020
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Thabet Abdeljawad
Saima Rashid
Zakia Hammouch
İmdat İşcan
Yu‐Ming Chu
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Topological Properties of Polycyclic Aromatic Nanostars Dendrimers
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2020
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Yu‐Ming Chu
Abdul Rauf
Muhammad Ishtiaq
Muhammad Kamran Siddiqui
Mehwish Hussain Muhammad
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Computing Irregularity Indices for Probabilistic Neural Network
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2020
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Shunguang Kang
Yu‐Ming Chu
Abaid ur Rehman Virk
Waqas Nazeer
Jia Jia
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Certain new weighted estimates proposing generalized proportional fractional operator in another sense
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2020
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Thabet Abdeljawad
Saima Rashid
Ahmed A. El‐Deeb
Zakia Hammouch
Yu‐Ming Chu
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The numerical solution of fourth order nonlinear singularly perturbed boundary value problems via 10-point subdivision scheme based numerical algorithm
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2020
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Syeda Tehmina Ejaz
Dumitru Băleanu
Ghulam Mustafa
Safia Malik
Yu‐Ming Chu
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New numerical solutions of fractional-order Korteweg-de Vries equation
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2020
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Mustafa İnç
Mohammad Partohaghighi
Mehmet Ali Akınlar
Yu‐Ming Chu
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Irregularity Measures for Benzene Ring Embedded in P-Type Surface
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2020
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Yun Liu
Aysha Siddiqa
Yu‐Ming Chu
Muhammad Azam
Muhammad Asim Raza Basra
Abaid ur Rehman Virk
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Bounds for the Remainder in Simpson’s Inequality via<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mi>n</mml:mi></mml:math>-Polynomial Convex Functions of Higher Order Using Katugampola Fractional Integrals
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2020
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Yu‐Ming Chu
Muhammad Uzair Awan
Muhammad Zakria Javad
Awais Gul Khan
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New solutions of fractional-order Burger-Huxley equation
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2020
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Mustafa İnç
Mohammad Partohaghighi
Mehmet Ali Akınlar
P. Agarwal
Yu‐Ming Chu
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New estimates for generalized Shannon and Zipf-Mandelbrot entropies via convexity results
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2020
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Khurshid Ahmad
Muhammad Adil Khan
Shahid Khan
Amjad Ali
Yu‐Ming Chu
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Estimates of quantum bounds pertaining to new q-integral identity with applications
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2020
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Muhammad Uzair Awan
Sadia Talib
Artion Kashuri
Muhammad Aslam Noor
Yu‐Ming Chu
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A new fractional-order compartmental disease model
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2020
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Luu Vu Cam Hoan
Mehmet Ali Akınlar
Mustafa İnç
J.F. Gómez‐Aguilar
Yu‐Ming Chu
Bandar Almohsen
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Some Trapezium-Like Inequalities Involving Functions Having Strongly <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mi>n</mml:mi></mml:math>-Polynomial Preinvexity Property of Higher Order
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2020
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Muhammad Uzair Awan
Sadia Talib
Muhammad Aslam Noor
Yu‐Ming Chu
Khalida Inayat Noor
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On convergence analysis and numerical solutions of local fractional Helmholtz equation
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2020
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Luu Vu Cam Hoan
Zeliha Körpınar
Mustafa İnç
Yu‐Ming Chu
Bandar Almohsen
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Fractional Hadamard and Fejér-Hadamard Inequalities Associated with Exponentially <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mfenced open="(" close=")"><mml:mrow><mml:mi>s</mml:mi><mml:mo>,</mml:mo><mml:mi>m</mml:mi></mml:mrow></mml:mfenced></mml:math>-Convex Functions
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2020
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Shuya Guo
Yu‐Ming Chu
Ghulam Farid
Sajid Mehmood
Waqas Nazeer
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Some new local fractional inequalities associated with generalized $(s,m)$-convex functions and applications
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2020
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Thabet Abdeljawad
Saima Rashid
Zakia Hammouch
Yu‐Ming Chu
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New Exact Solutions and Conservation Laws to the Fractional-Order Fokker–Planck Equations
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2020
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Nematollah Kadkhoda
Elham Lashkarian
Mustafa İnç
Mehmet Ali Akınlar
Yu‐Ming Chu
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Existence of Multiple Periodic Solutions for Cubic Nonautonomous Differential Equation
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2020
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Saima Akram
Allah Nawaz
Humaira Kalsoom
Muhammad Idrees
Yu‐Ming Chu
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Irregularity Measures for Metal-Organic Networks
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2020
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Xuan Guo
Yu‐Ming Chu
Muhammad Khalid Hashmi
Abaid ur Rehman Virk
Jingjng Li
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Dynamical behavior of fractional Chen-Lee-Liu equation in optical fibers with beta derivatives
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2020
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Amjad Hussain
Adil Jhangeer
Sana Tahir
Yu‐Ming Chu
Ilyas Khan
Kottakkaran Sooppy Nisar
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New Estimates of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:msub><mml:mrow><mml:mi>q</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:msub><mml:mrow><mml:mi>q</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:math>-Ostrowski-Type Inequalities within a Class of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M2"><mml:mi>n</mml:mi></mml:math>-Polynomial Prevexity of Functions
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2020
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Humaira Kalsoom
Muhammad Idrees
Dumitru Băleanu
Yu‐Ming Chu
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Inequalities for the generalized weighted mean values of g-convex functions with applications
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2020
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Mingbao Sun
Yu‐Ming Chu
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Solution of Multi-Term Time-Fractional PDE Models Arising in Mathematical Biology and Physics by Local Meshless Method
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2020
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Imtiaz Ahmad
Hijaz Ahmad
Phatiphat Thounthong
Yu‐Ming Chu
Clemente Cesarano
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On New Unified Bounds for a Family of Functions via Fractional<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mi>q</mml:mi></mml:math>-Calculus Theory
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2020
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Li Xu
Yu‐Ming Chu
Saima Rashid
Ahmed A. El‐Deeb
Kottakkaran Sooppy Nisar
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New Positive Solutions of Nonlinear Elliptic PDEs
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2020
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Mustafa İnç
Noureddine Bouteraa
Mehmet Ali Akınlar
Slimane Benaicha
Yu‐Ming Chu
Gerhard‐Wilhelm Weber
Bandar Almohsen
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On New Modifications Governed by Quantum Hahn’s Integral Operator Pertaining to Fractional Calculus
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2020
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Saima Rashid
Aasma Khalid
Gauhar Rahman
Kottakkaran Sooppy Nisar
Yu‐Ming Chu
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New fractional estimates for Hermite-Hadamard-Mercer’s type inequalities
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2020
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Hong-Hu Chu
Saima Rashid
Zakia Hammouch
Yu‐Ming Chu
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A new bound for the Jensen gap pertaining twice differentiable functions with applications
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2020
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Shahid Khan
Muhammad Adil Khan
Saad Ihsan Butt
Yu‐Ming Chu
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On new fractional integral inequalities for p-convexity within interval-valued functions
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2020
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Thabet Abdeljawad
Saima Rashid
Hasib Khan
Yu‐Ming Chu
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New explicit optical solitons of fractional nonlinear evolution equation via three different methods
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2020
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Luu Vu Cam Hoan
Saud Owyed
Mustafa İnç
Loubna Ouahid
M.A. Abdou
Yu‐Ming Chu
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A Robust q-Rung Orthopair Fuzzy Einstein Prioritized Aggregation Operators with Application towards MCGDM
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2020
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Muhammad Riaz
Hafiz Muhammad Athar Farid
Humaira Kalsoom
Dragan Pamučar
Yu‐Ming Chu
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An Optimal Fourth Order Derivative-Free Numerical Algorithm for Multiple Roots
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2020
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Sunil Kumar
Deepak Kumar
Janak Raj Sharma
Clemente Cesarano
Praveen Agarwal
Yu‐Ming Chu
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New Uniform Motion and Fermi–Walker Derivative of Normal Magnetic Biharmonic Particles in Heisenberg Space
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2020
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Talat Körpınar
Zeliha Körpınar
Yu‐Ming Chu
Mehmet Ali Akınlar
Mustafa İnç
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New Soliton Solutions of Fractional Jaulent-Miodek System with Symmetry Analysis
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2020
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S. Sahoo
S. Saha Ray
M.A. Abdou
Mustafa İnç
Yu‐Ming Chu
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Computational Study of the Coupled Mechanism of Thermophoretic Transportation and Mixed Convection Flow around the Surface of a Sphere
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2020
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Amir Abbas
Muhammad Ashraf
Yu‐Ming Chu
Saqib Zia
Ilyas Khan
Kottakkaran Sooppy Nisar
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Better Approaches for n-Times Differentiable Convex Functions
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2020
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Praveen Agarwal
Mahir Kadakal
İmdat İşcan
Yu‐Ming Chu
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New estimates considering the generalized proportional Hadamard fractional integral operators
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2020
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Shuang-Shuang Zhou
Saima Rashid
Fahd Jarad
Humaira Kalsoom
Yu‐Ming Chu
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Generation of new fractional inequalities via n polynomials s-type convexity with applications
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2020
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Saima Rashid
İmdat İşcan
Dumitru Băleanu
Yu‐Ming Chu
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Multiple Fractional Solutions for Magnetic Bio-Nanofluid Using Oldroyd-B Model in a Porous Medium with Ramped Wall Heating and Variable Velocity
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2020
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Muhammad Saqib
Ilyas Khan
Yu‐Ming Chu
Ahmad Qushairi
Sharidan Shafie
Kottakkaran Sooppy Nisar
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NEW GENERALIZATIONS IN THE SENSE OF THE WEIGHTED NON-SINGULAR FRACTIONAL INTEGRAL OPERATOR
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2020
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Saima Rashid
Zakia Hammouch
Dumitru Băleanu
Yu‐Ming Chu
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NEW ESTIMATES OF INTEGRAL INEQUALITIES VIA GENERALIZED PROPORTIONAL FRACTIONAL INTEGRAL OPERATOR WITH RESPECT TO ANOTHER FUNCTION
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2020
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Saima Rashid
Zakia Hammouch
Fahd Jarad
Yu‐Ming Chu
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APPLICABILITY OF TOPOLOGICAL DEGREE THEORY TO EVOLUTION EQUATION WITH PROPORTIONAL DELAY
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2020
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Sher Muhammad
Kamal Shah
Yu‐Ming Chu
Rahmat Ali Khan
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New Hermite–Hadamard type inequalities for n-polynomial harmonically convex functions
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2020
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Muhammad Uzair Awan
Nousheen Akhtar
Sabah Iftikhar
Muhammad Aslam Noor
Yu‐Ming Chu
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Ostrowski type inequalities involving conformable integrals via preinvex functions
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2020
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Yousaf Khurshid
Muhammad Adil Khan
Yu‐Ming Chu
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A Note on Reverse Minkowski Inequality via Generalized Proportional Fractional Integral Operator with respect to Another Function
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2020
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Saima Rashid
Fahd Jarad
Yu‐Ming Chu
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Some New Refinements of Hermite–Hadamard-Type Inequalities Involving<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mrow><mml:msub><mml:mrow><mml:mi>ψ</mml:mi></mml:mrow><mml:mrow><mml:mi>k</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>-Riemann–Liouville Fractional Integrals and Applications
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2020
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Muhammad Uzair Awan
Sadia Talib
Yu‐Ming Chu
Muhammad Aslam Noor
Khalida Inayat Noor
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Symmetric MHD Channel Flow of Nonlocal Fractional Model of BTF Containing Hybrid Nanoparticles
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2020
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Muhammad Saqib
Sharidan Shafie
Ilyas Khan
Yu‐Ming Chu
Kottakkaran Sooppy Nisar
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New converses of Jensen inequality via Green functions with applications
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2020
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Shahid Khan
Muhammad Adil Khan
Yu‐Ming Chu
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The right Riemann–Liouville fractional Hermite–Hadamard type inequalities derived from Green’s function
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2020
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Arshad Iqbal
Muhammad Adil Khan
Muhammad Suleman
Yu‐Ming Chu
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On Pólya–Szegö and Čebyšev type inequalities via generalized k-fractional integrals
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2020
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Saima Rashid
Fahd Jarad
Humaira Kalsoom
Yu‐Ming Chu
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Post Quantum Integral Inequalities of Hermite-Hadamard-Type Associated with Co-Ordinated Higher-Order Generalized Strongly Pre-Invex and Quasi-Pre-Invex Mappings
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2020
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Humaira Kalsoom
Saima Rashid
Muhammad Idrees
Farhat Safdar
Saima Akram
Dumitru Băleanu
Yu‐Ming Chu
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Convexity and concavity of the modified Bessel functions of the first kind with respect to Hölder means
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2020
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Tie‐Hong Zhao
Lei Shi
Yu‐Ming Chu
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T-Spherical Fuzzy Einstein Hybrid Aggregation Operators and Their Applications in Multi-Attribute Decision Making Problems
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2020
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Muhammad Munir
Humaira Kalsoom
Kifayat Ullah
Tahir Mahmood
Yu‐Ming Chu
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Quantum Hermite–Hadamard inequality by means of a Green function
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2020
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Muhammad Adil Khan
Noor Mohammad
Eze R. Nwaeze
Yu‐Ming Chu
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Some New Hermite–Hadamard-Type Inequalities Associated with Conformable Fractional Integrals and Their Applications
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2020
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Arshad Iqbal
Muhammad Adil Khan
Sana Ullah
Yu‐Ming Chu
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Quantum Analogs of Ostrowski-Type Inequalities for Raina’s Function correlated with Coordinated Generalized Φ-Convex Functions
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2020
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Hong-Hu Chu
Humaira Kalsoom
Saima Rashid
Muhammad Idrees
Farhat Safdar
Yu‐Ming Chu
Dumitru Băleanu
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New Multi-Parametrized Estimates Having pth-Order Differentiability in Fractional Calculus for Predominating ℏ-Convex Functions in Hilbert Space
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2020
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Saima Rashid
Humaira Kalsoom
Zakia Hammouch
Rehana Ashraf
Dumitru Băleanu
Yu‐Ming Chu
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Sharp Power Mean Inequalities for the Generalized Elliptic Integral of the First Kind
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2020
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Miao-Kun Wang
Zai-Yin He
Yu‐Ming Chu
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Delay dynamic double integral inequalities on time scales with applications
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2020
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Sobia Rafeeq
Humaira Kalsoom
Sabir Hussain
Saima Rashid
Yu‐Ming Chu
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On Cauchy–Schwarz inequality for N-tuple diamond-alpha integral
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2020
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Ximei Hu
Jing-Feng Tian
Yu‐Ming Chu
LU Yan-xia
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Approximation for the complete elliptic integral of the first kind
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2020
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Wei-Mao Qian
Zai-Yin He
Yu‐Ming Chu
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Petrović-Type Inequalities for Harmonic <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mi>h</mml:mi></mml:math>-convex Functions
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2020
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Imran Abbas Baloch
Yu‐Ming Chu
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Notes on the complete elliptic integral of the first kind
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2020
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Zhen-Hang Yang
Wei-Mao Qian
en Zhang
Yu‐Ming Chu
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Ostrowski type inequalities in the sense of generalized $\mathcal{K}$-fractional integral operator for exponentially convex functions
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2020
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Saima Rashid
Muhammad Aslam Noor
Khalida Inayat Noor
Yu‐Ming Chu
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Inequalities for generalized trigonometric and hyperbolic functions with one parameter
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2020
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Miao-Kun Wang
Miao-Ying Hong
Yangfan Xu
Zhonghua Shen
Yu‐Ming Chu
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New weighted generalizations for differentiable exponentially convex mapping with application
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2020
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Saima Rashid
Rehana Ashraf
Muhammad Aslam Noor
Khalida Inayat Noor
Yu‐Ming Chu
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Answers to three conjectures on convexity of three functions involving complete elliptic integrals of the first kind
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2020
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Miao-Kun Wang
Hong-Hu Chu
Yongmin Li
Yu‐Ming Chu
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A sharp double inequality involving generalized complete elliptic integral of the first kind
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2020
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Tie‐Hong Zhao
Miao-Kun Wang
Yu‐Ming Chu
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A New Bound for the Jensen Gap With Applications in Information Theory
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2020
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Muhammad Adil Khan
Shahid Khan
Yu‐Ming Chu
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2<i>D</i> approximately reciprocal <i>ρ</i>-convex functions and associated integral inequalities
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2020
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Muhammad Uzair Awan
Nousheen Akhtar
Artion Kashuri
Muhammad Aslam Noor
Yu‐Ming Chu
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Refinements of Jensen’s and McShane’s inequalities with applications
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2020
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Muhammad Adil Khan
Josip Pečarić
Yu‐Ming Chu
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Conformable integral version of Hermite-Hadamard-Fej&#233;r inequalities via <i>η</i>-convex functions
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2020
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Yousaf Khurshid
Muhammad Adil Khan
Yu‐Ming Chu
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Conformable fractional integral inequalities for <i>GG</i>- and <i>GA</i>-convex functions
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2020
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Yousaf Khurshid
Muhammad Adil Khan
Yu‐Ming Chu
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Characterizations of ordered $h$-regular semirings by ordered $h$-ideals
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2020
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Rukhshanda Anjum
Saad Ullah
Yu‐Ming Chu
Mohammad Munir
Nasreen Kausar
Seifedine Kadry
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Certain novel estimates within fractional calculus theory on time scales
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2020
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Jian-Mei Shen
Saima Rashid
Muhammad Aslam Noor
Rehana Ashraf
Yu‐Ming Chu
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Fractional integral versions of Hermite-Hadamard type inequality for generalized exponentially convexity
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2020
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Hengxiao Qi
Muhammad Yussouf
Sajid Mehmood
Yu‐Ming Chu
Ghulam Farid
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Revisiting the Hermite-Hadamard fractional integral inequality via a Green function
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2020
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Arshad Iqbal
Muhammad Adil Khan
Noor Mohammad
Eze R. Nwaeze
Yu‐Ming Chu
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Some unified bounds for exponentially $tgs$-convex functions governed by conformable fractional operators
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2020
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Hu Ge-JiLe
Saima Rashid
Muhammad Aslam Noor
Arshiya Suhail
Yu‐Ming Chu
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Asymptotic expansion and bounds for complete elliptic integrals
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2020
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Miao-Kun Wang
Yu‐Ming Chu
Yongmin Li
en Zhang
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Sharp rational bounds for the gamma function
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2020
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Jian-Mei Shen
Zhen-Hang Yang
Wei-Mao Qian
en Zhang
Yu‐Ming Chu
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Fractional generalized Hadamard and Fejér-Hadamard inequalities for <i>m</i>-convex functions
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2020
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Xiuzhi Yang
Ghulam Farid
Waqas Nazeer
Yu‐Ming Chu
Chunfa Dong
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A variant of Jensen-type inequality and related results for harmonic convex functions
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2020
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Imran Abbas Baloch
Aqeel Ahmad Mughal
Yu‐Ming Chu
Absar Ul Haq
Manuel De la Sen
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On some refinements for inequalities involving zero-balanced hypergeometric function
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2020
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Tie‐Hong Zhao
Zai-Yin He
Yu‐Ming Chu
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A New Idea of Fractal-fractional Derivative with Power Law Kernel for Free Convection Heat Transfer in a Channel Flow between Two Static Upright Parallel Plates
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2020
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Dolat Khan
Farhad Ali
Arshad Khan
Yu‐Ming Chu
Kottakkaran Sooppy Nisar
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Periodic solutions for first-order cubic non-autonomous differential equation with bifurcation analysis
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2020
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Saima Akram
Allah Nawaz
Nusrat Yasmin
Humaira Kalsoom
Yu‐Ming Chu
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Fixed Point Results for Fractal Generation of Complex Polynomials Involving Sine Function via Non-Standard Iterations
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2020
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Hengxiao Qi
Muhammad Tanveer
Waqas Nazeer
Yu‐Ming Chu
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New exact solutions for the Kaup-Kupershmidt equation
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2020
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Mustafa İnç
Mamun Miah
Chawdhury Akher
Shahadat Ali
Hadi Rezazadeh
Mehmet Ali Akınlar
Yu‐Ming Chu
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New Hermite-Hadamard type inequalities for exponentially convex functions and applications
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2020
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Shuang-Shuang Zhou
Saima Rashid
Muhammad Aslam Noor
Khalida Inayat Noor
Farhat Safdar
Yu‐Ming Chu
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A new approach on fractional calculus and probability density function
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2020
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Shubo Chen
Saima Rashid
Muhammad Aslam Noor
Rehana Ashraf
Yu‐Ming Chu
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New solitary wave solutions for the conformable Klein-Gordon equation with quantic nonlinearity
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2020
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Mustafa İnç
Hadi Rezazadeh
Javad Vahidi
Mostafa Eslami
Mehmet Ali Akınlar
Muhammad Ali
Yu‐Ming Chu
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Some New $(p_1p_2,q_1q_2)$-Estimates of Ostrowski-type integral inequalities via <i>n</i>-polynomials <i>s</i>-type convexity
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2020
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Humaira Kalsoom
Muhammad Idrees
Artion Kashuri
Muhammad Uzair Awan
Yu‐Ming Chu
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Monotonicity properties and bounds for the complete <i>p</i>-elliptic integrals
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2020
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Xi-Fan Huang
Miao-Kun Wang
Hao Shao
Yifan Zhao
Yu‐Ming Chu
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Bounds for the perimeter of an ellipse in terms of power means
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2020
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Zai-Yin He
Miao-Kun Wang
Yue-Ping Jiang
Yu‐Ming Chu
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Coordinate strongly s-convex functions and related results
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2020
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Syed Zaheer Ullah
Muhammad Adil Khan
Zareen A. Khan
Yu‐Ming Chu
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Some new extensions for fractional integral operator having exponential in the kernel and their applications in physical systems
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2020
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Saima Rashid
Dumitru Băleanu
Yu‐Ming Chu
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On bounds for topological descriptors of <i>φ</i>-sum graphs
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2020
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Yu‐Ming Chu
Saira Javed
Muhammad Javaid
Muhammad Kamran Siddiqui
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Explicit solutions to the Sharma-Tasso-Olver equation
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2020
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M.A. Abdou
Loubna Ouahid
Saud Owyed
A. M. Abdel-Baset
Mustafa İnç
Mehmet Ali Akınlar
Yu‐Ming Chu
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Anti Mandelbrot Sets via Jungck-M Iteration
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2020
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Hengxiao Qi
Muhammad Tanveer
Muhammad Shoaib Saleem
Yu‐Ming Chu
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Extensions of quadratic transformation identities for hypergeometric functions
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2020
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Yong‐Min Liang
Xiao-Yan Ma
Yu‐Ming Chu
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Computer Methodologies for the Comparison of Some Efficient Derivative Free Simultaneous Iterative Methods for Finding Roots of Non-Linear Equations
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2020
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Yu‐Ming Chu
Naila Rafiq
Mudassir Shams
Saima Akram
Nazir Ahmad Mir
Humaira Kalsoom
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On Sharp Bounds on Partition Dimension of Convex Polytopes
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2020
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Yu‐Ming Chu
Muhammad Faisal Nadeem
Muhammad Azeem
Muhammad Kamran Siddiqui
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On topological aspects of degree based entropy for two carbon nanosheets
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2020
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Shazia Manzoor
Yu‐Ming Chu
Muhammad Kamran Siddiqui
Sarfraz Ahmad
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On multiplicative degree based topological indices for planar octahedron networks
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2020
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Ghulam Dustigeer
Haidar Ali
Muhammad Imran Khan
Yu‐Ming Chu
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New (<i>p</i>,<i>q</i>)-estimates for different types of integral inequalities via (<i>α</i>,<i>m</i>)-convex mappings
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2020
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Humaira Kalsoom
Muhammad Amer Latif
Saima Rashid
Dumitru Băleanu
Yu‐Ming Chu
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Note on Fractional Green's Function
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2020
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Jinfa Ying
Yu‐Ming Chu
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Generalization of Favard’s and Berwald’s Inequalities for Strongly Convex Functions
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2019
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Muhammad Adil Khan
Syed Zaheer Ullah
Yu‐Ming Chu
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Two-Variable Quantum Integral Inequalities of Simpson-Type Based on Higher-Order Generalized Strongly Preinvex and Quasi-Preinvex Functions
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2019
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Humaira Kalsoom
Saima Rashid
Muhammad Idrees
Yu‐Ming Chu
Dumitru Băleanu
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Converses of the Jensen inequality derived from the Green functions with applications in information theory
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2019
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Shahid Khan
Muhammad Adil Khan
Yu‐Ming Chu
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Inequalities by Means of Generalized Proportional Fractional Integral Operators with Respect to Another Function
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2019
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Saima Rashid
Fahd Jarad
Muhammad Aslam Noor
Humaira Kalsoom
Yu‐Ming Chu
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Sharp one-parameter geometric and quadratic means bounds for the Sándor–Yang means
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2019
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Bo Wang
Chen-Lan Luo
Shihui Li
Yu‐Ming Chu
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Hermite–Hadamard type inequalities for co-ordinated convex and qausi-convex functions and their applications
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2019
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Muhammad Amer Latif
Saima Rashid
Sever S Dragomir
Yu‐Ming Chu
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Fractional Integral Inequalities for Strongly h -Preinvex Functions for a kth Order Differentiable Functions
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2019
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Saima Rashid
Muhammad Amer Latif
Zakia Hammouch
Yu‐Ming Chu
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A note on generalized convex functions
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2019
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Syed Zaheer Ullah
Muhammad Adil Khan
Yu‐Ming Chu
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Optimal two-parameter geometric and arithmetic mean bounds for the Sándor–Yang mean
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2019
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Wei-Mao Qian
Yue-Ying Yang
Hongwei Zhang
Yu‐Ming Chu
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Hermite-Hadamard Type Inequalities for the Class of Convex Functions on Time Scale
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2019
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Saima Rashid
Muhammad Aslam Noor
Khalida Inayat Noor
Farhat Safdar
Yu‐Ming Chu
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Bounds for Toader Mean in Terms of Arithmetic and Second Seiffert Means
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2019
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Zai-Yin He
Yue-Ping Jiang
Yu‐Ming Chu
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Precise bounds for the weighted Hölder mean of the complete p-elliptic integrals
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2019
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Miao-Kun Wang
Hong-Hu Chu
Yu‐Ming Chu
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Monotonicity, Convexity and Inequalities Involving the Generalized Elliptic Integrals
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2019
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Miaokun Wang
Wen Zhang
Yu‐Ming Chu
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Sharp bounds for Neuman means in terms of two-parameter contraharmonic and arithmetic mean
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2019
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Wei-Mao Qian
Zai-Yin He
Hongwei Zhang
Yu‐Ming Chu
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Association of Jensen’s inequality for s-convex function with Csiszár divergence
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2019
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Muhammad Adil Khan
Muhammad Fainan Hanif
Zareen Abdul Hameed Khan
Khurshid Ahmad
Yu‐Ming Chu
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Precise estimates for the solution of Ramanujan’s generalized modular equation
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2019
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Miao-Kun Wang
Yu‐Ming Chu
Wen Zhang
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Integral Majorization Type Inequalities for the Functions in the Sense of Strong Convexity
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2019
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Syed Zaheer Ullah
Muhammad Adil Khan
Zareen A. Khan
Yu‐Ming Chu
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Hermite-Hadamard Type Inequalities via the Montgomery Identity
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2019
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Muhammad Adil Khan
Yousaf Khurshid
Yu‐Ming Chu
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Improvements of bounds for the Sándor–Yang means
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2019
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Wei-Mao Qian
Hui-Zuo Xu
Yu‐Ming Chu
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Majorization theorems for strongly convex functions
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2019
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Syed Zaheer Ullah
Muhammad Adil Khan
Yu‐Ming Chu
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Schur m-power convexity of generalized geometric Bonferroni mean involving three parameters
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2019
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Shanhe Wu
Yu‐Ming Chu
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On Approximating the Toader Mean by Other Bivariate Means
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2019
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Junli Wang
Wei-Mao Qian
Zai-Yin He
Yu‐Ming Chu
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On approximating the quasi-arithmetic mean
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2019
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Tie‐Hong Zhao
Bu-Chuan Zhou
Miao-Kun Wang
Yu‐Ming Chu
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Sharp power mean bounds for two Sándor–Yang means
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2019
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Xiaohong He
Wei-Mao Qian
Hui-Zuo Xu
Yu‐Ming Chu
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Sharp Landen transformation inequalities for hypergeometric functions, with applications
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2019
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Song-Liang Qiu
Xiao-Yan Ma
Yu‐Ming Chu
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Discrete majorization type inequalities for convex functions on rectangles
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2019
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Muhammad Adil Khan
Shanhe Wu
Hidayat Ullah
Yu‐Ming Chu
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Conformable Integral Inequalities of the Hermite-Hadamard Type in terms of GG- and GA-Convexities
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2019
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Yousaf Khurshid
Muhammad Adil Khan
Yu‐Ming Chu
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Hermite-Hadamard-Fejér Inequalities for Conformable Fractional Integrals via Preinvex Functions
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2019
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Yousaf Khurshid
Muhammad Adil Khan
Yu‐Ming Chu
Zareen A. Khan
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Monotonicity and inequalities involving zero-balanced hypergeometric function
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2019
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Miao-Kun Wang
Yu‐Ming Chu
en Zhang
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Bounding the convex combination of arithmetic and integral means in terms of one-parameter harmonic and geometric means
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2019
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Wei-Mao Qian
Wen Zhang
Yu‐Ming Chu
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High accuracy asymptotic bounds for the complete elliptic integral of the second kind
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2018
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Zhen-Hang Yang
Yu‐Ming Chu
Wen Zhang
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The concept of coordinate strongly convex functions and related inequalities
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2018
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Muhammad Adil Khan
Syed Zaheer Ullah
Yu‐Ming Chu
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Quadratic transformation inequalities for Gaussian hypergeometric function
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2018
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Tie‐Hong Zhao
Miao-Kun Wang
Wen Zhang
Yu‐Ming Chu
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New Estimations for Shannon and Zipf–Mandelbrot Entropies
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2018
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Muhammad Adil Khan
Zaid Mohammad Al-sahwi
Yu‐Ming Chu
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Generalization of Hermite-Hadamard Type Inequalities via Conformable Fractional Integrals
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2018
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Muhammad Adil Khan
Yousaf Khurshid
Tingsong Du
Yu‐Ming Chu
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Hermite–Hadamard type inequalities for fractional integrals via Green’s function
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2018
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Muhammad Adil Khan
Arshad Iqbal
Muhammad Suleman
Yu‐Ming Chu
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Integral Inequalities Involving Strongly Convex Functions
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2018
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Ying-Qing Song
Muhammad Adil Khan
Syed Zaheer Ullah
Yu‐Ming Chu
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Sharp bounds for the Sándor–Yang means in terms of arithmetic and contra-harmonic means
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2018
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Hui-Zuo Xu
Yu‐Ming Chu
Wei-Mao Qian
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Conformable Fractional Integrals Versions of Hermite-Hadamard Inequalities and Their Generalizations
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2018
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Muhammad Adil Khan
Yu‐Ming Chu
Artion Kashuri
Rozana Liko
Gohar Ali
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Schur convexity properties for a class of symmetric functions with applications
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2018
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Wei-Mao Qian
Yu‐Ming Chu
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PDF
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Ostrowski type inequalities involving conformable fractional integrals
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2018
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Muhammad Adil Khan
Sumbel Begum
Yousaf Khurshid
Yu‐Ming Chu
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On approximating the arithmetic-geometric mean and complete elliptic integral of the first kind
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2018
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Zhen-Hang Yang
Wei-Mao Qian
Yu‐Ming Chu
Wen Zhang
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On approximating the error function
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2018
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Zhen-Hang Yang
Wei-Mao Qian
Yu‐Ming Chu
en Zhang
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PDF
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Landen inequalities for a class of hypergeometric functions with applications
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2018
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Miao-Kun Wang
Yu‐Ming Chu
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PDF
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Infinite series formula for Hübner upper bound function with applications to Hersch-Pfluger distortion function
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2018
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Miao-Kun Wang
Yong‐Min Liang
Yu‐Ming Chu
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Monotonicity properties and bounds involving the complete elliptic integrals of the first kind
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2018
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Zhen-Hang Yang
Wei-Mao Qian
Yu‐Ming Chu
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Some new inequalities of Hermite-Hadamard type for s-convex functions with applications
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2017
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Muhammad Adil Khan
Yu‐Ming Chu
Tahir Ullah Khan
Jamroz Khan
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Sharp bounds for a special quasi-arithmetic mean in terms of arithmetic and geometric means with two parameters
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2017
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Wei-Mao Qian
Yu‐Ming Chu
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On rational bounds for the gamma function
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2017
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Zhen-Hang Yang
Wei-Mao Qian
Yu‐Ming Chu
Wen Zhang
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Generalized eigenvalue method for coupled differential-difference equations with two delay channels
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2017
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Yongmin Li
Yu‐Ming Chu
Weifeng Xia
Zhengjiang Zhao
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Monotonicity rule for the quotient of two functions and its application
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2017
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Zhen-Hang Yang
Wei-Mao Qian
Yu‐Ming Chu
Wen Zhang
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Inequalities for α-fractional differentiable functions
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2017
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Yu‐Ming Chu
Muhammad Adil Khan
Tahir Ali
Sever S Dragomir
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Refinements of transformation inequalities for zero-balanced hypergeometric functions
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2017
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Miaokun Wang
Yu‐Ming Chu
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+
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Inequalities and infinite product formula for Ramanujan generalized modular equation function
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2017
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Miao-Kun Wang
Yongmin Li
Yu‐Ming Chu
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Sharp Stolarsky mean bounds for the complete elliptic integral of the second kind
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2017
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Zhen-Hang Yang
Yu‐Ming Chu
Xiaohui Zhang
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On approximating the modified Bessel function of the second kind
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2017
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Zhen-Hang Yang
Yu‐Ming Chu
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PDF
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Optimal inequalities for bounding Toader mean by arithmetic and quadratic means
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2017
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Tie‐Hong Zhao
Yu‐Ming Chu
Wen Zhang
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Sharp bounds for the Toader-Qi mean in terms of harmonic and geometric means
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2017
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Wei-Mao Qian
Shouxin Zhang
Yu‐Ming Chu
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A monotonicity property involving the generalized elliptic integral of the first kind
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2017
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Zhen-Hang Yang
Yu‐Ming Chu
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A monotonicity property involving the generalized elliptic integral of the first kind
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2017
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Zhen-Hang Yang
Yu‐Ming Chu
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PDF
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Necessary and sufficient conditions for the two parameter generalized Wilker-type inequalities
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2016
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Hui Sun
Zhen-Hang Yang
Yu‐Ming Chu
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PDF
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On approximating the error function
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2016
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Zhen-Hang Yang
Yu‐Ming Chu
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PDF
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Monotonicity of the incomplete gamma function with applications
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2016
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Zhen-Hang Yang
Wen Zhang
Yu‐Ming Chu
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Monotonicity and inequalities involving the incomplete gamma function
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2016
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Zhen-Hang Yang
Wen Zhang
Yu‐Ming Chu
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Monotonicity and absolute monotonicity for the two-parameter hyperbolic and trigonometric functions with applications
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2016
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Zhen-Hang Yang
Yu‐Ming Chu
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Improvements of the bounds for Ramanujan constant function
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2016
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Hong-Hu Chu
Zhen-Hang Yang
Wen Zhang
Yu‐Ming Chu
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Generalized Wilker-type inequalities with two parameters
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2016
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Hong-Hu Chu
Zhen-Hang Yang
Yu‐Ming Chu
Wen Zhang
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Monotonicity of the ratio for the complete elliptic integral and Stolarsky mean
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2016
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Zhen-Hang Yang
Yu‐Ming Chu
Wen Zhang
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Generalizations of Hermite--Hadamard type inequalities for MT-convex functions
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2016
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Yu‐Ming Chu
Muhammad Adil Khan
Tahir Ullah Khan
Tahir Ali
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Optimal bounds for a Toader-type mean in terms of one-parameter quadratic and contraharmonic means
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2016
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Hong-Hu Chu
Wei-Mao Qian
Yu‐Ming Chu
Ying-Qing Song
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Sharp bounds for Neuman means with applications
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2016
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Fangli Xia
Wei-Mao Qian
Shubo Chen
Yu‐Ming Chu
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Several improvements of Mitrinovic-Adamovic and Lazarevics inequalities with applications to the sharpening of Wilker-type inequalities
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2016
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Shanhe Wu
Huan-Peng Yue
Yongping Deng
Yu‐Ming Chu
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Chat
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Refinements of bounds for Neuman means with applications
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2016
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Yue-Ying Yang
Wei-Mao Qian
Yu‐Ming Chu
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PDF
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Ramanujan's cubic transformation inequalities for zero-balanced hypergeometric functions
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2016
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M.K. Wang
Yu‐Ming Chu
Y.P. Jiang
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Accurate approximations for the complete elliptic integral of the second kind
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2016
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Zhen-Hang Yang
Yu‐Ming Chu
Wen Zhang
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PDF
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On approximating the modified Bessel function of the first kind and Toader-Qi mean
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2016
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Zhen-Hang Yang
Yu‐Ming Chu
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PDF
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Optimal power mean bounds for the second Yang mean
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2016
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Junfeng Li
Zhen-Hang Yang
Yu‐Ming Chu
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PDF
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Optimal Bounds for Neuman Mean Using Arithmetic and Centroidal Means
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2016
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Ying-Qing Song
Wei-Mao Qian
Yu‐Ming Chu
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Sharp One-Parameter Mean Bounds for Yang Mean
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2016
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Wei-Mao Qian
Yu‐Ming Chu
Xiaohui Zhang
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PDF
Chat
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A Sharp Lower Bound for Toader-Qi Mean with Applications
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2016
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Zhen-Hang Yang
Yu‐Ming Chu
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PDF
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Best Possible Bounds for Yang Mean Using Generalized Logarithmic Mean
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2016
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Wei-Mao Qian
Yu‐Ming Chu
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PDF
Chat
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Optimal Bounds for Gaussian Arithmetic-Geometric Mean with Applications to Complete Elliptic Integral
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2016
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Hua Wang
Wei-Mao Qian
Yu‐Ming Chu
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PDF
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Concavity of the error function with respect to Hölder means
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2016
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Yu‐Ming Chu
Tie‐Hong Zhao
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PDF
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Sharp bounds for Toader-Qi mean in terms of logarithmic and identric means
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2016
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Zhen-Hang Yang
Yu‐Ming Chu
Ying-Qing Song
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PDF
Chat
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A Sharp double inequality involving trigonometric functions and its applications
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2016
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Zhen-Hang Yang
Yu‐Ming Chu
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PDF
Chat
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Sharp Lehmer mean bounds for Neuman means with applications
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2016
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Yu‐Ming Chu
Wei-Mao Qian
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An optimal double inequality between geometric, logarithmic and arithmetic means
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2016
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Zai-Yin He
Hong-Hu Chu
Yu‐Ming Chu
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PDF
Chat
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Optimal evaluations for the Sándor-Yang mean by power mean
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2016
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Zhen-Hang Yang
Yu‐Ming Chu
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PDF
Chat
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Sharp bounds for Neuman means in terms of geometric, arithmetic and quadratic means
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2016
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Zhijun Guo
Yan Zhang
Yu‐Ming Chu
Ying-Qing Song
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Asymptotical formulas for Gaussian and generalized hypergeometric functions
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2015
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Miao-Kun Wang
Yu‐Ming Chu
Ying-Qing Song
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PDF
Chat
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Optimal lower and upper bounds for the geometric convex combination of the error function
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2015
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Yongmin Li
Weifeng Xia
Yu‐Ming Chu
Xiaohui Zhang
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PDF
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Sharp bounds for cyclic sums of the ratio of the exradius to the sides of a triangle
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2015
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Shanhe Wu
Huan-Peng Yue
Yu‐Ming Chu
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PDF
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Convexity and concavity of the complete elliptic integrals with respect to Lehmer mean
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2015
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Yu‐Ming Chu
Tie‐Hong Zhao
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PDF
Chat
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Parametrized inequality of Hermite-Hadamard type for functions whose third derivative absolute values are quasi-convex
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2015
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Shanhe Wu
Banyat Sroysang
Jinshan Xie
Yu‐Ming Chu
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PDF
Chat
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Lazarević and Cusa type inequalities for hyperbolic functions with two parameters and their applications
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2015
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Zhen-Hang Yang
Yu‐Ming Chu
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PDF
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Optimal evaluation of a Toader-type mean by power mean
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2015
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Ying-Qing Song
Tie‐Hong Zhao
Yu‐Ming Chu
Xiaohui Zhang
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PDF
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Inequalities for certain means in two arguments
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2015
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Zhen-Hang Yang
Yu‐Ming Chu
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PDF
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Sharp bounds for Toader mean in terms of arithmetic, quadratic, and Neuman means
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2015
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Junfeng Li
Wei-Mao Qian
Yu‐Ming Chu
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On approximating Mills ratio
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2015
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Zhen-Hang Yang
Yu‐Ming Chu
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Asymptotic formulas for gamma function with applications
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2015
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Zhen-Hang Yang
Yu‐Ming Chu
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Sharp Cusa type inequalities with two parameters and their applications
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2015
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Zhen-Hang Yang
Yu‐Ming Chu
Xiaohui Zhang
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Sharp bounds for psi function
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2015
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Zhen-Hang Yang
Yu‐Ming Chu
Xiaohui Zhang
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PDF
Chat
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Sharp bounds for Sándor mean in terms of arithmetic, geometric and harmonic means
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2015
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Wei-Mao Qian
Yu‐Ming Chu
Xiaohui Zhang
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Optimal evaluations for the S\'{a}ndor-Yang mean by power mean
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2015
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Zhen-Hang Yang
Yu‐Ming Chu
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Monotonicity properties of a function involving the psi function with applications
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2015
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Tie‐Hong Zhao
Zhen-Hang Yang
Yu‐Ming Chu
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Sharp power-type Heronian mean bounds for the Sándor and Yang means
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2015
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Shuang-Shuang Zhou
Wei-Mao Qian
Yu‐Ming Chu
Xiaohui Zhang
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Necessary and sufficient conditions for functions involving the psi function to be completely monotonic
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2015
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Zhen-Hang Yang
Yu‐Ming Chu
Xiaohui Zhang
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PDF
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Ramanujan’s cubic transformation and generalized modular equation
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2015
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Miao-Kun Wang
Yu‐Ming Chu
Ying-Qing Song
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Sharp bounds for generalized elliptic integrals of the first kind
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2015
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Miao-Kun Wang
Yu‐Ming Chu
Song-Liang Qiu
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Monotonicity criterion for the quotient of power series with applications
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2015
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Zhen-Hang Yang
Yu‐Ming Chu
Miao-Kun Wang
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Comparison between the logarithmic and two-parameter generalized Muirhead means
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2015
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Yu‐Ming Chu
Tie‐Hong Zhao
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PDF
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Optimal bounds for the first and second Seiffert means in terms of geometric, arithmetic and contraharmonic means
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2015
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Yu‐Ming Chu
Wei-Mao Qian
Limin Wu
Xiaohui Zhang
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Sharp Bounds for Toader Mean in terms of Arithmetic and Second Contraharmonic Means
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2015
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Wei-Mao Qian
Ying-Qing Song
Xiaohui Zhang
Yu‐Ming Chu
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Sharp Power Mean Bounds for the One-Parameter Harmonic Mean
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2015
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Yu‐Ming Chu
Limin Wu
Ying-Qing Song
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PDF
Chat
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Jordan Type Inequalities for Hyperbolic Functions and Their Applications
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2015
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Zhen-Hang Yang
Yu‐Ming Chu
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PDF
Chat
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Sharp Power Mean Bounds for Sándor Mean
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2015
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Yu‐Ming Chu
Zhen-Hang Yang
Limin Wu
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PDF
Chat
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Optimal inequalities for the convex combination of error function
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2015
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Weifeng Xia
Yu‐Ming Chu
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PDF
Chat
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Optimal one-parameter mean bounds for the convex combination of arithmetic and logarithmic means
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2015
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Zai-Yin He
Miao-Kun Wang
Yu‐Ming Chu
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Chat
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An optimal inequalities Chain for bivariate means
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2015
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Zhen-Hang Yang
Yu‐Ming Chu
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The Schur Harmonic Convexity of Lehmer Means 1
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2015
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Weifeng Xia
Yu‐Ming Chu
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Optimal evaluations for the Sándor-Yang mean by power mean
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2015
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Zhen-Hang Yang
Yu‐Ming Chu
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PDF
Chat
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Erratum to: Schur-geometric-convexity of the generalized Gini-Heronian means involving three parameters
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2014
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Yong-Ping Deng
Yu‐Ming Chu
Shanhe Wu
Lokenath Debnath
Deng He
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Best possible inequalities for the harmonic mean of error function
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2014
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Yu‐Ming Chu
Yongmin Li
Weifeng Xia
Xiaohui Zhang
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Sharp bounds for Neuman means in terms of one-parameter family of bivariate means
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2014
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Zhi-Hua Shao
Wei-Mao Qian
Yu‐Ming Chu
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Schur convexity properties for the elliptic Neuman mean with applications
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2014
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Ying-Qing Song
Miao-Kun Wang
Yu‐Ming Chu
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PDF
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Schur-geometric convexity of the generalized Gini-Heronian means involving three parameters
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2014
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Yong-Ping Deng
Yu‐Ming Chu
Shanhe Wu
Lokenath Debnath
Deng He
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PDF
Chat
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Schur quadratic concavity of the elliptic Neuman mean and its application
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2014
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Yu‐Ming Chu
Yan Zhang
Song-Liang Qiu
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PDF
Chat
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Optimal power mean bounds for Yang mean
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2014
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Zhen-Hang Yang
Limin Wu
Yu‐Ming Chu
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PDF
Chat
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Geometric interpretation of Blundon’s inequality and Ciamberlini’s inequality
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2014
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Shanhe Wu
Yu‐Ming Chu
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+
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A power mean inequality involving the complete elliptic integrals
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2014
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Gendi Wang
Xiaohui Zhang
Yu‐Ming Chu
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PDF
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Note on certain inequalities for Neuman means
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2014
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Shubo Chen
Zai-Yin He
Yu‐Ming Chu
Ying-Qing Song
Xiao-Jing Tao
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PDF
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Sharp bounds for the Neuman mean in terms of the quadratic and second Seiffert means
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2014
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Yu‐Ming Chu
Hua Wang
Tie‐Hong Zhao
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PDF
Chat
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A note on Hardy’s inequality
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2014
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Yu‐Ming Chu
Xu Qian
Xiaoming Zhang
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REFINEMENTS OF CARLEMAN’S INEQUALITY
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2014
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Yu‐Ming Chu
Xiaoming Zhang
Xu Qian
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+
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Inequalities for the Gaussian hypergeometric function
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2014
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Ying-Qing Song
Pei-Gui Zhou
Yu‐Ming Chu
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PDF
Chat
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Sharp bounds for the arithmetic-geometric mean
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2014
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Zhen-Hang Yang
Ying-Qing Song
Yu‐Ming Chu
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+
PDF
Chat
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Optimal bounds for Neuman means in terms of geometric, arithmetic and quadratic means
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2014
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Wei-Mao Qian
Yu‐Ming Chu
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+
PDF
Chat
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Sharp Wilker-type inequalities with applications
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2014
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Zhen-Hang Yang
Yu‐Ming Chu
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+
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Sharp bounds for neuman-sándor mean in terms of the convex combination of quadratic and first Seiffert means
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2014
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Yu‐Ming Chu
Tie‐Hong Zhao
Ying-Qing Song
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Sharp power mean bounds for Seiffert mean
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2014
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Yongmin Li
Miao-Kun Wang
Yu‐Ming Chu
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PDF
Chat
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A Sharp Double Inequality for Trigonometric Functions and Its Applications
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2014
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Zhen-Hang Yang
Yu‐Ming Chu
Ying-Qing Song
Yongmin Li
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PDF
Chat
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A Note on Jordan, Adamović-Mitrinović, and Cusa Inequalities
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2014
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Zhen-Hang Yang
Yu‐Ming Chu
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PDF
Chat
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The Schur-Convexity of the Generalized Muirhead-Heronian Means
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2014
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Yong-Ping Deng
Shanhe Wu
Yu‐Ming Chu
Deng He
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PDF
Chat
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A Double Inequality for the Trigamma Function and Its Applications
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2014
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Zhen-Hang Yang
Yu‐Ming Chu
Xiao-Jing Tao
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PDF
Chat
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Sharp Bounds for Neuman Means by Harmonic, Arithmetic, and Contraharmonic Means
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2014
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Zhijun Guo
Yu‐Ming Chu
Ying-Qing Song
Xiao-Jing Tao
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PDF
Chat
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Arcwise Connected Domains, Quasiconformal Mappings, and Quasidisks
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2014
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Yu‐Ming Chu
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PDF
Chat
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Sharp Inequalities for Trigonometric Functions
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2014
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Zhen-Hang Yang
Yunliang Jiang
Ying-Qing Song
Yu‐Ming Chu
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PDF
Chat
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Monotonicity of the Ratio of the Power and Second Seiffert Means with Applications
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2014
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Zhen-Hang Yang
Ying-Qing Song
Yu‐Ming Chu
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PDF
Chat
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Sharp Geometric Mean Bounds for Neuman Means
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2014
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Yan Zhang
Yu‐Ming Chu
Yunliang Jiang
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PDF
Chat
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A note on generalized trigonometric and hyperbolic functions
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2014
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Ying-Qing Song
Yu‐Ming Chu
Baoyu Liu
Miao-Kun Wang
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+
PDF
Chat
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Optimal bounds for Neuman-Sándor mean in terms of the convex combination of logarithmic and quadratic or contra-harmonic means
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2014
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Yu‐Ming Chu
Tie‐Hong Zhao
Baoyu Liu
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PDF
Chat
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The Schur convexity for the generalized Muirhead mean
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2014
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Wei-Ming Gong
Sun Hui
Yu‐Ming Chu
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PDF
Chat
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Bounds of the perimeter of an ellipse using arithmetic, geometric and harmonic means
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2014
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Miao-Kun Wang
Yu‐Ming Chu
Yue-Ping Jiang
Song-Liang Qiu
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+
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Note On Certain Inequalities for Neuman Means
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2014
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Zai-Yin He
Yu‐Ming Chu
Ying-Qing Song
Xiao-Jing Tao
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+
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Sharp Bounds for Neuman Means in Terms of Geometric, Arithemtic and Quadratic Means
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2014
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Zhijun Guo
Yan Zhang
Yu‐Ming Chu
Ying-Qing Song
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PDF
Chat
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A note on the Neuman-Sándor mean
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2014
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Hui Sun
Tie‐Hong Zhao
Yu‐Ming Chu
Baoyu Liu
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PDF
Chat
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Optimal bounds for the Neuman-Sándor mean in terms of the first Seiffert and quadratic means
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2013
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Wei-Ming Gong
Xu-Hui Shen
Yu‐Ming Chu
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Monotonicity and Inequalities for the Generalized Distortion Function
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2013
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Xiao-Yan Ma
Yu‐Ming Chu
Fei Wang
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+
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Sharp inequalities involving the power mean and complete elliptic integral of the first kind
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2013
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Yu‐Ming Chu
Song-Liang Qiu
M.K. Wang
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PDF
Chat
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Optimal Lehmer Mean Bounds for the Combinations of Identric and Logarithmic Means
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2013
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Xu-Hui Shen
Wei-Ming Gong
Yu‐Ming Chu
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PDF
Chat
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Sharp inequalities for the Neuman-Sandor mean in terms of arithmetic and contra-harmonic means
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2013
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Yu‐Ming Chu
Miao-Kun Wang
Baoyu Liu
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PDF
Chat
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Some estimations for the Taylor's remainder
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2013
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Hui Sun
Bo-Yong Long
Yu‐Ming Chu
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+
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Convexity of the generalized sine function and the generalized hyperbolic sine function
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2013
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Wei-Dong Jiang
Miao-Kun Wang
Yu‐Ming Chu
Yue-Ping Jiang
Feng Qi
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+
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A sharp double inequality involving identric, Neuman-S&aacute;ndor, and quadratic means
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2013
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Yu‐Ming Chu
TieHong ZHAO
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OPTIMAL CONVEX COMBINATIONS BOUNDS OF CENTROIDAL AND HARMONIC MEANS FOR LOGARITHMIC AND IDENTRIC MEANS
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2013
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Yu‐Ming Chu
S. Hou
Weifeng Xia
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PDF
Chat
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Asymptotical bounds for complete elliptic integrals of the second kind
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2013
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Miao-Kun Wang
Yu‐Ming Chu
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PDF
Chat
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Sharp bounds for Seiffert and Neuman-Sándor means in terms of generalized logarithmic means
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2013
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Yu‐Ming Chu
Bo-Yong Long
Wei-Ming Gong
Ying-Qing Song
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PDF
Chat
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Bounds for the Arithmetic Mean in Terms of the Neuman-Sándor and Other Bivariate Means
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2013
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Fan Zhang
Yu‐Ming Chu
Wei-Mao Qian
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PDF
Chat
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Optimal Lower Generalized Logarithmic Mean Bound for the Seiffert Mean
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2013
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Ying-Qing Song
Wei-Mao Qian
Yunliang Jiang
Yu‐Ming Chu
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Global weak solutions to a general liquid crystals system
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2013
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Yu‐Ming Chu
Yihang Hao
Xiangao Liu
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+
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Optimal bounds for logarithmic and identric means in terms of generalized centroidal mean
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2013
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Tao Zhang
Weifeng Xia
Yu‐Ming Chu
Gendi Wang
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+
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An optimal double inequality between logarithmic and generalized logarithmic means
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2013
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Yunliang Jiang
Bo-Yong Long
Yu‐Ming Chu
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PDF
Chat
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Best Possible Bounds for Neuman-Sándor Mean by the Identric, Quadratic and Contraharmonic Means
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2013
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Tie‐Hong Zhao
Yu‐Ming Chu
Yunliang Jiang
Yongmin Li
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PDF
Chat
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Bounds of the Neuman-Sándor Mean Using Power and Identric Means
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2013
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Yu‐Ming Chu
Bo-Yong Long
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PDF
Chat
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Bounds for the Combinations of Neuman-Sándor, Arithmetic, and Second Seiffert Means in terms of Contraharmonic Mean
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2013
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Zai-Yin He
Wei-Mao Qian
Yunliang Jiang
Ying-Qing Song
Yu‐Ming Chu
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PDF
Chat
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On Certain Inequalities for Neuman-Sándor Mean
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2013
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Wei-Mao Qian
Yu‐Ming Chu
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PDF
Chat
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Optimal Bounds for Neuman Means in Terms of Harmonic and Contraharmonic Means
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2013
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Zai-Yin He
Yu‐Ming Chu
Miao-Kun Wang
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PDF
Chat
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Optimal Two Parameter Bounds for the Seiffert Mean
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2013
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Hui Sun
Ying-Qing Song
Yu‐Ming Chu
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+
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A Power Mean Inequality involving the complete elliptic integrals
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2013
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Gendi Wang
Xiaohui Zhang
Yu‐Ming Chu
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+
PDF
Chat
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Optimal bounds for Toader mean in terms of arithmetic and contraharmonic means
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2013
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Ying-Qing Song
Wei-Dong Jiang
Yu‐Ming Chu
Dan-Dan Yan
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PDF
Chat
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Optimal inequalities between Neuman-Sándor, centroidal and harmonic means
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2013
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Weifeng Xia
Yu‐Ming Chu
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PDF
Chat
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Sharp bounds for Toader mean in terms of contraharmonic mean with applications
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2013
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Yu‐Ming Chu
Miao-Kun Wang
Xiao-Yan Ma
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PDF
Chat
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Some monotonicity properties of generalized elliptic integrals with applications
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2013
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Miao-Kun Wang
Yu‐Ming Chu
Song-Liang Qiu
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+
PDF
Chat
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Refinements of bounds for the first and second Seiffert means
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2013
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Yu‐Ming Chu
Baoyu Liu
Miaokun Wang
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PDF
Chat
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Sharp two parameter bounds for the logarithmic mean and the arithmetic-geometric mean of Gauss
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2013
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Yu‐Ming Chu
Miao-Kun Wang
Ye-Fang Qiu
Xiao-Yan Ma
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Bounds for the identric mean in terms of one-parameter mean
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2013
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Ying-Qing Song
Weifeng Xia
Xu-Hui Shen
Yu‐Ming Chu
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PDF
Chat
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The best possible Lehmer mean bounds for a convex combination of logarithmic and harmonic means
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2013
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Zhijun Guo
Xu-Hui Shen
Yu‐Ming Chu
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On Toader-Sandor mean
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2013
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Ying-Qing Song
Bo-Yong Long
Yu‐Ming Chu
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+
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Sharp bounds for Seiffert mean in terms of arithmetic and geometric means
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2013
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Baoyu Liu
Weiming Gong
Ying-Qing Song
Yu‐Ming Chu
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Bounds improvement for Neuman-Sandor mean using arithmetic, quadratic and contraharmonic means
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2013
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Xu-Hui Shen
Yu‐Ming Chu
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PDF
Chat
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Bounds for the Neuman-Sandor mean in terms of logarithmic, quadratic or contraharmonic means
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2013
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Wei-Ming Gong
Xu-Hui Shen
Yu‐Ming Chu
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+
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Ramanujan's cubic transformation and generalized modular equation
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2013
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Miaokun Wang
Yu‐Ming Chu
Yue-Ping Jiang
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+
PDF
Chat
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Optimal bounds for the Neuman-Sandor means in terms of geometric and contraharmonic means
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2013
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Hui Sun
Xu-Hui Shen
Tie‐Hong Zhao
Yu‐Ming Chu
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PDF
Chat
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Sharp inequalities between harmonic, Seiffert, quadratic and contraharmonic means
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2013
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Chen-Yan Yang
Xu-Hui Shen
Yu‐Ming Chu
Gendi Wang
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+
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AN ELEMENTARY INEQUALITY FOR PSI FUNCTION
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2013
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Yu‐Ming Chu
Xiaoming Zhang
Xiaomin Tang
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OPTIMAL INEQUALITIES FOR THE POWER, HARMONIC AND LOGARITHMIC MEANS
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2012
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Yu‐Ming Chu
Ming-yu Shi
Yue-Ping Jiang
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PDF
Chat
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Strong solutions to the compressible liquid crystal system
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2012
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Yu‐Ming Chu
Xiangao Liu
Xiao Liu
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Existence in non‐smooth domain for compressible liquid crystals
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2012
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Yu‐Ming Chu
Xiangao Liu
Wenya Ma
Lequn Peng
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Concavity of the complete elliptic integrals of the second kind with respect to Hölder means
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2012
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Yu‐Ming Chu
Miao-Kun Wang
Yue-Ping Jiang
Song-Liang Qiu
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Sharp bounds by the power mean for the generalized Heronian mean
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2012
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Yongmin Li
Bo-Yong Long
Yu‐Ming Chu
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Some properties for a class of symmetric functions with applications
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2012
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Weifeng Xia
Xiao-Hui Zhan
Gendi Wang
Yu‐Ming Chu
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Bounds for the perimeter of an ellipse
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2012
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Miao-Kun Wang
Yu‐Ming Chu
Song-Liang Qiu
Yue-Ping Jiang
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Optimal generalized Heronian mean bounds for the logarithmic mean
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2012
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Hongxing Shi
Bo-Yong Long
Yu‐Ming Chu
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Some inequalities for the generalized linear distortion function
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2012
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Xiao-Yan Ma
Song-Liang Qiu
Gen-Hong Zhong
Yu‐Ming Chu
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Optimal combinations bounds of root-square and arithmetic means for Toader mean
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2012
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Yu‐Ming Chu
Miao-Kun Wang
Song-Liang Qiu
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Long-time behavior of solutions to the compressible liquid crystals
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2012
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Wenya Ma
Xiangao Liu
Yu‐Ming Chu
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Sharp bounds for Seiffert mean in terms of root mean square
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2012
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Yu‐Ming Chu
Shou-Wei Hou
Zhonghua Shen
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Bounds for complete elliptic integrals of the second kind with applications
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2012
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Yu‐Ming Chu
Miao-Kun Wang
Song-Liang Qiu
Yue-Ping Jiang
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Ramanujan's cubic transformation inequalities for zero-balanced hypergeometric functions
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2012
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Miao-Kun Wang
Yu‐Ming Chu
Yeping Jiang
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Optimal bounds for the Neuman-Sandor means in terms of geometric and contra-harmonic means
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2012
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Tie‐Hong Zhao
Yu‐Ming Chu
Bo-Yu Liu
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Some Best Possible Inequalities Concerning Certain Bivariate Means
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2012
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Tie‐Hong Zhao
Yu‐Ming Chu
Baoyu Liu
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Sharp inequalities for the Neuman-Sandor mean in terms of arithmetic and contra-harmonic means
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2012
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Miao-Kun Wang
Yu‐Ming Chu
Baoyu Liu
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Sharp two parameter bounds for logarithmic and arithmetic-geometric means
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2012
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Yu‐Ming Chu
Ye-Fang Qiu
Miao-Kun Wang
Xiao-Yan Ma
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Optimal Bounds for Neuman‐Sándor Mean in Terms of the Convex Combinations of Harmonic, Geometric, Quadratic, and Contraharmonic Means
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2012
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Tie‐Hong Zhao
Yu‐Ming Chu
Baoyu Liu
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Optimal Inequalities for Power Means
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2012
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Yongmin Li
Bo-Yong Long
Yu‐Ming Chu
Wei-Ming Gong
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Fractional Difference Equations with Real Variable
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2012
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Jinfa Cheng
Yu‐Ming Chu
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A note on the Neuman-Sándor Mean
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2012
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Tie‐Hong Zhao
Yu‐Ming Chu
Baoyu Liu
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A Best Possible Double Inequality for Power Mean
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2012
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Yongmin Li
Bo-Yong Long
Yu‐Ming Chu
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Asymptotical Bounds for Complete Elliptic Integrals of the Second Kind
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2012
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Miao-Kun Wang
Yu‐Ming Chu
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A Sharp Double Inequality between Seiffert, Arithmetic, and Geometric Means
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2012
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Wei-Ming Gong
Ying-Qing Song
Miao-Kun Wang
Yu‐Ming Chu
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The optimal convex combination bounds of arithmetic and harmonic means in terms of power mean
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2012
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Weifeng Xia
Walther Janous
Yu‐Ming Chu
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Optimal Bounds for Seiffert Mean in terms of One-Parameter Means
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2012
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Huanan Hu
Guo-Yan Tu
Yu‐Ming Chu
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Optimal one-parameter mean bounds for the convex combination of arithmetic and geometric means
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2012
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Weifeng Xia
Shou-Wei Hou
Gendi Wang
Yu‐Ming Chu
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Hölder mean inequalities for the generalized Grötzsch ring and Hersch-Pfluger distortion functions
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2012
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Song-Liang Qiu
Ye-Fang Qiu
Miao-Kun Wang
Yu‐Ming Chu
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PDF
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Some inequalities for the generalized distortion functions
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2012
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Xiao-Yan Ma
Miao-Kun Wang
Gen-Hong Zhong
Song-Liang Qiu
Yu‐Ming Chu
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PDF
Chat
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Sharp bounds for the Neuman-Sándor mean in terms of generalized logarithmic mean
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2012
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Yongmin Li
Bo-Yong Long
Yu‐Ming Chu
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PDF
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Best possible inequalities among harmonic, geometric, logarithmic and seiffert means
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2012
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Yu‐Ming Chu
Miao-Kun Wang
Zikui Wang
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Refinements of the inequalities between Neuman-Sandor, arithmetic, contra-harmonic and quadratic means
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2012
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Yu‐Ming Chu
Miao-Kun Wang
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Optimal two parameter bounds for the Seiffert mean
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2012
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Yu‐Ming Chu
Miao-Kun Wang
Ye-Fang Qiu
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Sharp Inequalities between Harmonic, Seiffert, Quadratic and Contraharmonic Means
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2012
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Gendi Wang
Chen-Yan Yang
Yu‐Ming Chu
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Sharp Bounds for Seiffert Mean in Terms of Contraharmonic Mean
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2011
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Yu‐Ming Chu
Shou-Wei Hou
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PDF
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Inequalities between Arithmetic-Geometric, Gini, and Toader Means
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2011
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Yu‐Ming Chu
Miao-Kun Wang
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Convexity of the complete elliptic integrals of the first kind with respect to Hölder means
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2011
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Miao-Kun Wang
Yu‐Ming Chu
Song-Liang Qiu
Yue-Ping Jiang
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A best-possible double inequality between Seiffert and harmonic means
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2011
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Yu‐Ming Chu
Miao-Kun Wang
Zikui Wang
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A note on Jordan type inequalities for hyperbolic functions
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2011
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Yu-Pei Lv
Gendi Wang
Yu‐Ming Chu
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An optimal double inequality between geometric and identric means
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2011
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Miao-Kun Wang
Zikui Wang
Yu‐Ming Chu
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Hölder mean inequalities for the complete elliptic integrals
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2011
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Yu‐Ming Chu
Ye-Fang Qiu
Miao-Kun Wang
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PDF
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Two sharp double inequalities for Seiffert mean
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2011
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Yu‐Ming Chu
Miao-Kun Wang
Wei-Ming Gong
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Necessary and sufficient conditions for a class of functions and their reciprocals to be logarithmically completely monotonic
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2011
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Yu-Pei Lv
Tian-Chuan Sun
Yu‐Ming Chu
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The Schur concavity, Schur multiplicative and harmonic convexities of the second dual form of the Hamy symmetric function with applications
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2011
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Yu‐Ming Chu
Weifeng Xia
Xiaohui Zhang
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Exact inequalities involving power mean, arithmetic mean and identric mean
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2011
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Yu‐Ming Chu
Ming-yu Shi
Yue-Ping Jiang
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Generalized Hersch–Pfluger distortion function and complete elliptic integrals
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2011
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Miao-Kun Wang
Song-Liang Qiu
Yu‐Ming Chu
Yue-Ping Jiang
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OSCILLATION OF ONE ORDER NEUTRAL DIFFERENTIAL EQUATION WITH IMPULSES
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2011
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Jinfa Cheng
Yu‐Ming Chu
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The schur convexity of gini mean values in the sense of harmonic mean
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2011
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Weifeng Xia
Yu‐Ming Chu
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Degenerate Weakly (k<sub>1</sub>, k<sub>2</sub>)-Quasiregular Mappings
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2011
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Hongya Gao
Da-Zeng Tian
Sun Lanxiang
Yu‐Ming Chu
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The Schur multiplicative and harmonic convexities of the complete symmetric function
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2011
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Yu‐Ming Chu
Gendi Wang
Zhang Xiao-hui
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Optimal Lehmer Mean Bounds for the Toader Mean
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2011
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Yu‐Ming Chu
Miao-Kun Wang
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An optimal power mean inequality for the complete elliptic integrals
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2011
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Miao-Kun Wang
Yu‐Ming Chu
Ye-Fang Qiu
Song-Liang Qiu
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On Alzer and Qiu's Conjecture for Complete Elliptic Integral and Inverse Hyperbolic Tangent Function
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2011
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Yu‐Ming Chu
Miao-Kun Wang
Ye-Fang Qiu
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Optimal Inequalities between Harmonic, Geometric, Logarithmic, and Arithmetic-Geometric Means
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2011
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Yu‐Ming Chu
Miao-Kun Wang
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PDF
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A Sharp Double Inequality between Harmonic and Identric Means
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2011
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Yu‐Ming Chu
Miao-Kun Wang
Zikui Wang
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PDF
Chat
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Optimal Lower Power Mean Bound for the Convex Combination of Harmonic and Logarithmic Means
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2011
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Yu‐Ming Chu
Shanshan Wang
Cheng Zong
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PDF
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Sharp Generalized Seiffert Mean Bounds for Toader Mean
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2011
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Yu‐Ming Chu
Miao-Kun Wang
Song-Liang Qiu
Ye-Fang Qiu
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On the Fractional Difference Equations of Order (2, <i>q</i>)
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2011
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Jinfa Cheng
Yu‐Ming Chu
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PDF
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An Optimal Double Inequality between Seiffert and Geometric Means
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2011
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Yu‐Ming Chu
Miao-Kun Wang
Zikui Wang
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Monotonicity, Convexity, and Inequalities Involving the Agard Distortion Function
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2011
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Yu‐Ming Chu
Miao-Kun Wang
Yue-Ping Jiang
Song-Liang Qiu
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Logarithmically Complete Monotonicity Properties Relating to the Gamma Function
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2011
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Tie‐Hong Zhao
Yu‐Ming Chu
Hua Wang
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THE OPTIMAL GENERALIZED HERONIAN MEAN BOUNDS FOR THE IDENTRIC MEAN
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2011
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Ye-Fang Qiu
Miaokun Wang
Yu‐Ming Chu
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THE SHARP COMBINATION BOUNDS OF ARITHMETIC AND LOGARITHMIC MEANS FOR SEIFFERT'S MEAN
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2011
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Ye-Fang Qiu
Miaokun Wang
Yu‐Ming Chu
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Two sharp inequalities for Lehmer mean, identric mean and logarithmic mean
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2011
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Ye-Fang Qiu
Miao-Kun Wang
Yu‐Ming Chu
Gendi Wang
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Optimal convex combination bounds of Seiffert and geometric means for the arithmetic mean
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2011
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Yu‐Ming Chu
Cheng Zong
Gendi Wang
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PDF
Chat
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Some properties for a class of symmetric functions and applications
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2011
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Yu‐Ming Chu
Weifeng Xia
Tie‐Hong Zhao
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PDF
Chat
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Sharp inequalities between means
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2011
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Yu‐Ming Chu
Bo-Yong Long
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PDF
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A power mean inequality for the Grötzsch ring function
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2011
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Gendi Wang
Xiaohui Zhang
Yu‐Ming Chu
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Optimal Convex Combination Bounds of Root-Square and Harmonic Root-Square Means for Seiffert Mean 1
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2011
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Shou-Wei Hou
Yu‐Ming Chu
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Necessary and sufficient conditions for the Schur harmonic convexity or concavity of the extended mean values
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2011
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Wei Xia
Yu‐Ming Chu
Di Wang
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Solution to the Linear Fractional Differential Equation Using Adomian Decomposition Method
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2010
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Jinfa Cheng Jinfa Cheng
Yu‐Ming Chu
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THE GEOMETRIC CONVEXITY OF A FUNCTION INVOLVING GAMMA FUNCTION WITH APPLICATIONS
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2010
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Yu‐Ming Chu
Xiaoming Zhang
Zhi‐Hua Zhang
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Convexity of the Integral Arithmetic Mean of a Convex Function
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2010
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X.M. Zhang
Yu‐Ming Chu
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Two optimal double inequalities between power mean and logarithmic mean
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2010
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Yu‐Ming Chu
Weifeng Xia
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Schur convexity for a class of symmetric functions
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2010
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Yu‐Ming Chu
Weifeng Xia
Tie‐Hong Zhao
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Prey–predator systems with intertwined basins of attraction
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2010
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Yu‐Ming Chu
Changming Ding
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Some Comparison Inequalities for Generalized Muirhead and Identric Means
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2010
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Miao-Kun Wang
Yu‐Ming Chu
Ye-Fang Qiu
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Optimal Power Mean Bounds for the Weighted Geometric Mean of Classical Means
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2010
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Bo-Yong Long
Yu‐Ming Chu
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PDF
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On Schur Convexity of Some Symmetric Functions
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2010
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Weifeng Xia
Yu‐Ming Chu
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PDF
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The Hermite-Hadamard Type Inequality of GA-Convex Functions and Its Application
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2010
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Xiaoming Zhang
Yu‐Ming Chu
Xiaohui Zhang
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The Optimal Upper and Lower Power Mean Bounds for a Convex Combination of the Arithmetic and Logarithmic Means
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2010
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Weifeng Xia
Yu‐Ming Chu
Gendi Wang
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The Optimal Convex Combination Bounds of Arithmetic and Harmonic Means for the Seiffert's Mean
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2010
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Yu‐Ming Chu
Ye-Fang Qiu
Miao-Kun Wang
Gendi Wang
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A New Method to Prove and Find Analytic Inequalities
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2010
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Xiaoming Zhang
Bo-Yan Xi
Yu‐Ming Chu
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An Optimal Double Inequality between Power-Type Heron and Seiffert Means
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2010
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Yu‐Ming Chu
Miao-Kun Wang
Ye-Fang Qiu
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Best Possible Inequalities between Generalized Logarithmic Mean and Classical Means
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2010
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Yu‐Ming Chu
Bo-Yong Long
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Multiplicative Concavity of the Integral of Multiplicatively Concave Functions
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2010
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Yu‐Ming Chu
Zhang Xiao-ming
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PDF
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Optimal Inequalities for Generalized Logarithmic, Arithmetic, and Geometric Means
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2010
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Bo-Yong Long
Yu‐Ming Chu
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PDF
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A New Method to Study Analytic Inequalities
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2010
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Zhang Xiao-ming
Yu‐Ming Chu
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Sharp Power Mean Bounds for the Combination of Seiffert and Geometric Means
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2010
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Yu‐Ming Chu
Ye-Fang Qiu
Miao-Kun Wang
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Oscillatory Criteria for the Two-Dimensional Difference Systems
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2010
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Jinfa Cheng
Yu‐Ming Chu
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Oscillations of Second-Order Neutral Impulsive Differential Equations
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2010
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Jinfa Cheng
Yu‐Ming Chu
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PDF
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A Class of Logarithmically Completely Monotonic Functions Associated with a Gamma Function
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2010
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Tie‐Hong Zhao
Yu‐Ming Chu
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Mixed Means Inequalities of Multivariable Geometric Mean and Harmonic Mean 1
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2010
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Yu-Pei Lv
Tian-Chuan Sun
Yu‐Ming Chu
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Schur convexity and Hadamard's inequality
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2010
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Yu‐Ming Chu
Gendi Wang
Shouxin Zhang
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Sharp bounds for Seiffert means in terms of Lehmer means
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2010
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Miao-Kun Wang
Ye-Fang Qiu
Yu‐Ming Chu
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The Schur-harmonic-convexity of dual form of the Hamy symmetric function
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2010
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Junxia Meng
Yu‐Ming Chu
Xiaomin Tang
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Solution of an open problem for Schur convexity or concavity of the Gini mean values
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2009
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Yu‐Ming Chu
Weifeng Xia
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Schur convexity and Schur multiplicative convexity for a class of symmetric functions with applications
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2009
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Weifeng Xia
Yu‐Ming Chu
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Regularity for Very Weak Solutions of A-Harmonic Equation with Weight
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2009
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Hongya Gao
Yu Zhang
Chu Yuming
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The homotopy perturbation method for discontinued problems arising in nanotechnology
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2009
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Shun-dong Zhu
Yu‐Ming Chu
Song-Liang Qiu
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Partial regularity of weak solutions for Landau-Lifshitz system with potential
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2009
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Yu‐Ming Chu
Xiangao Liu Xiangao Liu
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Remarks on generalized elliptic integrals
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2009
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Xiaohui Zhang
Gendi Wang
Yu‐Ming Chu
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Inequalities for Generalized Logarithmic Means
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2009
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Yu‐Ming Chu
Weifeng Xia
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The Schur Harmonic Convexity of the Hamy Symmetric Function and Its Applications
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2009
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Yu‐Ming Chu
Yu-Pei Lv
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Monotonic and Logarithmically Convex Properties of a Function Involving Gamma Functions
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2009
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Tie‐Hong Zhao
Yu‐Ming Chu
Yue-Ping Jiang
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Sufficient and Necessary Conditions for Oscillation of th-Order Differential Equation with Retarded Argument
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2009
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Jinfa Cheng
Yu‐Ming Chu
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Optimal Inequalities among Various Means of Two Arguments
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2009
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Ming-yu Shi
Yu‐Ming Chu
Yue-Ping Jiang
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Schur-Convexity for a Class of Symmetric Functions and Its Applications
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2009
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Weifeng Xia
Yu‐Ming Chu
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PDF
Chat
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Two Sharp Inequalities for Power Mean, Geometric Mean, and Harmonic Mean
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2009
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Yu‐Ming Chu
Weifeng Xia
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PDF
Chat
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A Double Inequality for Gamma Function
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2009
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Xiaoming Zhang
Yu‐Ming Chu
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Another New Proof Method of Analytic Inequality
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2009
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Xiaoming Zhang
Bo-Yan Xi
Yu‐Ming Chu
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The Schur Multiplicative Convexity of the Weighted Generalized Logarithmic Mean in n Variables 1
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2009
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Weifeng Xia
Yu‐Ming Chu
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Convexity with respect to Hölder mean involving zero-balanced hypergeometric functions
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2008
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Xiaohui Zhang
Gendi Wang
Yu‐Ming Chu
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Regularity of the<i>p</i>-harmonic maps with potential
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2008
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Yu‐Ming Chu
Xiangao Liu
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PDF
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OSCILLATION THEOREM FOR SECOND-ORDER DIFFERENCE EQUATIONS
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2008
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Jinfa Cheng
Yu‐Ming Chu
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SOME INEQUALITIES FOR THE GENERALIZED GRÖTZSCH FUNCTION
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2008
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Xiaohui Zhang
Gendi Wang
Yu‐Ming Chu
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OSCILLATION THEOREM FOR SECOND-ORDER DIFFERENCE EQUATIONS
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2008
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Jinfa Cheng
Yu‐Ming Chu
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The Geometrical Convexity and Concavity of Integral for Convex and Concave Functions
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2008
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Xiaoming Zhang
Yu‐Ming Chu
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Necessary and sufficient conditions such that extended mean values are Schur-convex or Schur-concave
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2008
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Yu‐Ming Chu
Xiaoming Zhang
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EXPONENT-QUASIADDITIVE PROPERTIES AND APPLICATION
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2007
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Gendi Wang
Xiaohui Zhang
Yu‐Ming Chu
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Generalized convexity and inequalities involving special functions
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2007
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Yu‐Ming Chu
Gendi Wang
Xiaohui Zhang
Song-Liang Qiu
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AN ELEMENTARY DOUBLE INEQUALITY FOR GAMMA FUNCTION
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2007
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Ying-Qing Song
Yu‐Ming Chu
Lingli Wu
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AN IMPROVEMENT OF MORI'S CONSTANT IN THE THEORY OF SPACE QUASICONFORMAL MAPPINGS
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2007
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Wei-Ming Gong
Fangli Xia
Yu‐Ming Chu
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The Construction of a Quasiconformal Mapping 1 from Unit Ball onto Bounded Convex Domain in R 3
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2007
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Wei-Ming Gong
Yu‐Ming Chu
Shouxin Zhang
Gendi Wang
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Two necessary and sufficient conditions for uniform domains
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2006
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Yu‐Ming Chu
Gendi Wang
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Inequalities for the generalized elliptic integrals and modular functions
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2006
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Gendi Wang
Xiaohui Zhang
Yu‐Ming Chu
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A note on the computational complexity of graph vertex partition
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2006
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Yuanqiu Huang
Yu‐Ming Chu
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Compact Cesàro Operators from Spaces H(p,q,u) to H(p,q,v)
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2006
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Xuejun Zhang
Yu‐Ming Chu
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The invariance of inner and outer linearly locally connected sets under quasiconformal mappings
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2006
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Yu‐Ming Chu
Gendi Wang
Xiaohui Zhang
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Regularity of harmonic maps with the potential
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2006
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Yu‐Ming Chu
Xiangao Liu
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EXTENSIONS AND SHARPENINGS OF JORDAN'S AND KOBER'S INEQUALITIES
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2006
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Shouxin Zhang
Gendi Wang
Yu‐Ming Chu
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THE OSCILLATION OF CERTAIN HIGH ORDER PARTIAL DIFFERENCE EQUATIONS
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2006
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Jinfa Cheng
Yu‐Ming Chu
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Distortion theorems of plane quasiconformal mappings
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2005
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Xiaohui Zhang
Gendi Wang
Yu‐Ming Chu
Song-Liang Qiu
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The bounds of the solutions to generalized modular equations
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2005
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Gendi Wang
Xiaohui Zhang
Song-Liang Qiu
Yu‐Ming Chu
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THE BI-SELF-CONJUGATE AND NONNEGATIVE DEFINITE SOLUTIONS TO THE INVERSE EIGENVALUE PROBLEM OF QUATERNION MATRICES
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2005
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Yu‐Ming Chu
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PDF
Chat
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Bounded circular distortion curves and quasidisks
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2005
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Yu‐Ming Chu
Zhenjiang Zhao
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PDF
Chat
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The discrete and nondiscrete subgroups of SL(2,R) and SL(2,C)
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2001
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Yu‐Ming Chu
Xiantao Wang
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