Mathematics Applied Mathematics

Mathematical Inequalities and Applications

Description

This cluster of papers explores matrix inequalities, geometric means, fractional integrals, Hermite-Hadamard inequalities, convex functions, Riemannian geometry, quantum calculus, complete monotonicity, operator inequalities, and the gamma function.

Keywords

Matrix Inequalities; Geometric Means; Fractional Integrals; Hermite-Hadamard Inequalities; Convex Functions; Riemannian Geometry; Quantum Calculus; Complete Monotonicity; Operator Inequalities; Gamma Function

Most Cited Works

Action Title Date Authors
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Differential and integral inequalities : theory and applications 1969-01-01 V. Lakshmikantham S. Leela
Convex Functions, Monotone Operators and Differentiability 1989-01-01 R. R. Phelps
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A General Class of Coefficients of Divergence of One Distribution from Another 1966-01-01 Syed Mustafa Ali S. D. Silvey
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Multinomial logistic regression algorithm 1992-03-01 Dankmar B�hning
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Functional Analysis, Sobolev Spaces and Partial Differential Equations 2010-11-02 Haïm Brézis
Differential and Integral Inequalities 2019-01-01 Dorin Andrica Themistocles M. Rassias
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Convex Analysis and Nonlinear Optimization 2006-01-01 Jonathan M. Borwein Adrian S. Lewis
A New Approach to Generalized Fractional Derivatives 2011-01-01 Udita N. Katugampola
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On Nonlinear Fractional Programming 1967-03-01 Werner Dinkelbach
Some classes of regular univalent functions 1965-08-01 Richard J. Libera
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Inequalities Involving Functions and Their Integrals and Derivatives 1991-01-01 D. S. Mitrinović ‎Josip Pečarić A. M. Fink
The Measurement and Decomposition of Multi-Dimensional Inequality 1986-07-01 Esfandiar Maasoumi
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Geometric Means in a Novel Vector Space Structure on Symmetric Positive‐Definite Matrices 2007-01-01 Vincent Arsigny Pierre Fillard Xavier Pennec Nicholas Ayache
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Monotone metrics on matrix spaces 1996-09-01 Dėnes Petz
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The Class of Additively Decomposable Inequality Measures 1980-04-01 Anthony Shorrocks
Concerning nonnegative matrices and doubly stochastic matrices 1967-05-01 Richard Sinkhorn Paul Knopp
Hermite–Hadamard’s inequalities for fractional integrals and related fractional inequalities 2012-01-06 Mehmet Zeki Sarıkaya Erhan Set Hatice Yaldız Nagihan Başak
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Linear transformations which preserve trace and positive semidefiniteness of operators 1972-12-01 Andrzej Jamiołkowski
Rényi Divergence and Kullback-Leibler Divergence 2014-06-19 Tim van Erven Peter Harremoës
The Brunn-Minkowski inequality 2002-04-08 Richard J. Gardner
A Differential Geometric Approach to the Geometric Mean of Symmetric Positive-Definite Matrices 2005-01-01 Maher Moakher
On some inequalities for the gamma and psi functions 1997-01-01 Horst Alzer
Discriminating States: The Quantum Chernoff Bound 2007-04-17 Katrien Audenaert John Calsamiglia R. Muñoz-Tapia E. Bagán Lluís Masanes Antonio Acín Frank Verstraete
The integral of a symmetric unimodal function over a symmetric convex set and some probability inequalities 1955-04-01 T. W. Anderson
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Two inequalities for differentiable mappings and applications to special means of real numbers and to trapezoidal formula 1998-09-01 Sever S Dragomir Ravi P. Agarwal
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On certain integrals of Lipschitz-Hankel type involving products of bessel functions 1955-04-19 G. Eason B. Noble I. N. Sneddon
A New Projection Method for Variational Inequality Problems 1999-01-01 M. V. Solodov B. F. Svaiter
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Some integrals involving theQ_Mfunction (Corresp.) 1975-01-01 Albert H. Nuttall
An inequality of the Hölder type, connected with Stieltjes integration 1936-01-01 Louise Young
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A single-parameter generalization of the Gini indices of inequality 1980-02-01 David Donaldson John A. Weymark
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On an Extension of the Gini Inequality Index 1983-10-01 Shlomo Yitzhaki
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Bessel Functions of Matrix Argument 1955-05-01 Carl Herz
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Strong and Weak Convexity of Sets and Functions 1983-05-01 Jean-Philippe Vial
Robust principal component analysis? 2011-05-01 Emmanuel J. Candès Xiaodong Li Yi Ma John Wright
Lp Affine Isoperimetric Inequalities 2000-09-01 Erwin Lutwak Deane Yang Gaoyong Zhang
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$I$-Divergence Geometry of Probability Distributions and Minimization Problems 1975-02-01 Imre Csiszár
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Multiple Range Tests for Correlated and Heteroscedastic Means 1957-06-01 David B. Duncan
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Some Maximal Inequalities 1971-01-01 Charles Fefferman E. M. Stein
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Convex Functions and Their Applications 2018-01-01 Constantin P. Niculescu Lars‐Erik Persson
Generalized reduced rank tests using the singular value decomposition 2005-05-05 Frank Kleibergen Richard Paap
Decomposing differences in the first moment 2003-12-04 Myeong‐Su Yun
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A sharp form of an inequality by N. Trudinger 1971-01-01 J. Moser
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Analytic Inequalities 1970-01-01 D. S. Mitrinović
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Inequalities: Theory of Majorization and Its Applications 2010-11-23 Albert W. Marshall Ingram Olkin Barry C. Arnold
Inequalities - Theory of Majorization and Its Applications 1979-01-01
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Finite-Dimensional Variational Inequalities and Complementarity Problems 2004-01-01 Francisco Facchinei Jong‐Shi Pang
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Selected Topics on Hermite-Hadamard Inequalities and Applications 2003-03-01 Sever S Dragomir Charles Pearce
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Positive Definite Matrices 2009-12-31 Rajendra Bhatia
On the inequality Δ<i>u</i>≥<i>f</i>(<i>u</i>) 1957-12-01 Robert Osserman
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Convex Functions, Partial Orderings, and Statistical Applications 1992-01-01 ‎Josip Pečarić Frank Proschan Y. L. Tong

Most Recent Works

Action Title Date Authors
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Some generalizations of reverse power inequalities for log-concave functions 2025-04-11
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Fractional Boole’s inequalities for twice differentiable functions for Riemann–Liouville fractional integrals 2025-04-11 Asia Shehzadi Hüseyin Budak Wali Haider Abdul Mateen Haibo Chen
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New Developments in Fractional Hermite-Hadamard Type Inequalities through $(\alpha,m)$-Convex Functions 2025-04-11 Muzammil Mukhtar Ayesha Firdous Muhammad Samraiz
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The BiGamma Function and some of its Related Inequalities 2025-04-11 Mohamed Chergui Mustapha Räıssouli
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Some New Inequalities for the Gamma and Polygamma Functions 2025-04-14 Waad Al Sayed H.M. Moustafa
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Some ($p$,$q$)-integral Inequalities 2025-04-14 İlker Genç Türk
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A Refined form of the generalized Jensen inequality through an arbitrary function 2025-04-15 Sahar Saoud M. A. KHAN Shahbaz Khan Sami H. Altoum Emmanuel Nwaeze
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Inequalities characterizing differential operators 2025-04-16 Gerd Herzog Peer Christian Kunstmann
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Hermite-Hadamard type fractional integral inequalities for generalized beta (r, g)-preinvex functions 2025-04-16 Artion Kashuri Rozana Liko
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Ostrowski type fractional integral inequalities for s-Godunova-Levin functions via k-fractional integrals 2025-04-16 Ghulam Farid Atiq Ur Rehman Muhammad Usman
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Jensen–Jessen Inequality for Convex Maps 2025-04-16 Zdzisław Otachel
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A polynomial-based operational matrix approach to solve fractional-order Bratu-type problems 2025-04-17 Saurabh Kumar Vikas Gupta
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Novel integral inequalities concerning modified Atangana-Baleanu fractional integral operators 2025-04-15 Gauhar Rahman Muhammad Samraiz Imed Boukhris Sarah Aljohani Nabil Mlaiki
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New Fractional Integral Inequalities Involving the Fox-H and Meijer-G Functions for Convex and Synchronous Functions 2025-04-17 Asifa Tassaddiq Carlo Cattani Rabab Alharbi D. K. Almutairi R. Md. Kasmani
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An Improved Version of the Parameterized Hardy–Hilbert Inequality Involving Two Partial Sums 2025-04-18 Yang Bi-cheng Shanhe Wu
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Young and Inverse Young Inequalities on Euclidean Jordan Algebra 2025-04-18 Chien-Hao Huang
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Extension of Hermite-Hadamard Type Integral Inequality Whose Second Order Derivatives are m- Convex Functions 2025-04-21 Pitamber Tiwari Chet Raj Bhatta
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Two novel golden ratio algorithms for quasimonotone variational inequalities 2025-04-18 Haiying Li Wang Xing-fang
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Functional inequalities for the numerical radius 2025-04-23 Hamid Reza Moradi Mohammad Sababheh
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Generalization of Some Integral Inequalities in Multiplicative Calculus with Their Computational Analysis 2025-04-24 Abdul Mateen Zhiyue Zhang Muhammad Aamir Ali Mičhal Fĕckan
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On the Approximations and Symmetric Properties of Frobenius–Euler–Şimşek Polynomials Connecting Szász Operators 2025-04-25 Nadeem Rao Mohammad Farid Mohd Raiz
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Exploring the (h, m)-Convexity for Operators in Hilbert Space 2025-04-28 Ekadion Maulana Corina Karim Mila Kurniawaty
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Certain q-Kober fractional integral operator of generalized basic hypergeometric functions and q-polynomials 2025-04-29 Jayprakash Yadav
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New theorems on general integral inequalities, variants of the Levinson or Hardy integral inequality 2025-04-30 Christophe Chesneau
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On integral inequalities with applications to the logarithmic mean 2025-04-30 Bikash Chakraborty Lazhar Bougoffa
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New Extension of Inequalities through Extended Version of Fractional Operators for s-Convexity with Applications 2025-05-01 Miguel Vivas–Cortez Rana Safdar Ali Rana Naila Talib Imen Kebaïli Imed Boukhris Gauhar Rahman
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Advancements in Ostrowski type fractional Integral Inequalities via Applications of Jensen's and Young's Inequalities 2025-05-01 Gauhar Rahman Muhammad Samraiz Çetin Yıldız Maryam Ali Alghafli Nabil Mlaiki
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Singular Value Inequalities for Matrix Sums and Products 2025-05-01 Ahmad Al-Natoor Rawan Al-Smadi Aliaa Burqan
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The $r$-Stirling Genocchi Numbers 2025-05-01 Vernard Dechosa Roberto B. Corcino
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Probabilistic Poly Degenerate r-Stirling Numbers of the Second Kind and r-Bell Polynomials 2025-05-01 S. H. Lee
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Fekete–Szeg˝o Inequalities for a New Class of Bi-Univalent Functions Defined via the Mittag-Leffler Function 2025-05-01 Mohammad Al-Ityan Ala Amourah Abdullah Alsoboh Nidal Anakira Mohammad Bani Raba’a Suha Hammad Tala H. Sasa
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Generalized Fractional Integral Extensions of Hermite-Hadamard Inequalities via Extended Mittag-Leffler Kernel 2025-05-01 Saima Naheed Adeeba Rafi Gauhar Rahman Irshad Ayoob Nabil Mlaiki
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Fekete-Szeg¨o Inequalities for a New Class of Bi-Univalent Functions Defined via the Mittag-Leffler Function 2025-05-01 Ala Amourah Mohammad Al-Ityan Abdullah Alsoboh Mohammad Bani Raba'a Suha Hammad
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Monotonicity of three functions involving the confluent hypergeometric functions of the second kind 2025-04-30 Zhong-Xuan Mao Jing-Feng Tian
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In-betweenness and Heinz mean inequalities 2025-05-02 ‎Raluca Dumitru José A. Franco Sejong Kim
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Interpolating the Heinz and Pólya inequality and its operator version 2025-04-30 H. Samea Ghodratollah Shafiei
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Further singular value and norm inequalities for matrices 2025-05-03 Ahmad Al-Natoor S. K. Kaushik Fuad Kıttaneh Amit Kumar
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Some properties and applications of (v, w)-convex functions 2025-05-03 Ehtesham Akhter Musavvir Ali
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Analytical Properties and Hermite–Hadamard Type Inequalities Derived from Multiplicative Generalized Proportional σ-Riemann–Liouville Fractional Integrals 2025-05-04 Fuxiang Liu Jielan Li
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A cb-Bohnenblust–Hille inequality with constant one and its applications in learning theory 2025-05-06 Srinivasan Arunachalam Arkopal Dutt Francisco Escudero Carlos Palazuelos
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Inequalities for ratios of modified Struve functions 2025-05-06 Dimitris A. Frantzis Chrysi G. Kokologiannaki Eugenia N. Petropoulou
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A review for finding determinants of some band matrices 2025-05-06 Maryam Shams Solary
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On Jensen-like form of Mikusiński's functional equation 2025-05-07 E. Imani Abbas Najati Mohammad Amin Tareeghee
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Approximate Orthogonality and Its Applications to Specific Classes of Linear Operators 2025-05-01 Najla Altwaijry Jacek Chmieliński Cristian Conde Kais Feki
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Exploration of Some Novel Integral Inequalities Pertaining to the New Class of (&lt;i&gt;k, ρ&lt;/i&gt;)-Conformable Fractional Integrals 2025-05-09 Warda Gauhar Rahman Muhammad Samraiz Salma Haque Nabil Mlaiki
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Generalized Grassmann graphs of orthogonal decompositions of Hilbert spaces 2025-05-01 Bojan Kuzma Mark Pankov
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Numerical radius inequalities of operator matrices 2025-05-09 Pintu Bhunia
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Hybrid Integral Inequalities on Fractal Set 2025-05-09 Badreddine Meftah Wedad Saleh Muhammad Uzair Awan Loredana Ciurdariu Abdelghani Lakhdari
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Majorization-Type Integral Inequalities Related to a Result of Bennett with Applications 2025-05-09 László Horváth
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Fractional Version of Bullen type Inequalities via Multiplicative Calculus with Applications 2025-05-09 Saad Ihsan Butt Muhammad Umar Dawood Khan Youngsoo Seol