Mathematics Statistics and Probability

Approximation Theory and Sequence Spaces

Description

This cluster of papers explores statistical convergence in approximation theory, functional analysis, and sequence spaces. It covers topics such as approximation theorems, double sequences, Bernstein polynomials, ideal convergence, and summability methods. The research also delves into applications in Orlicz spaces and Kantorovich operators.

Keywords

Statistical Convergence; Approximation Theorems; Double Sequences; Bernstein Polynomials; Sequence Spaces; Ideal Convergence; Summability Methods; Kantorovich Operators; Orlicz Spaces; Functional Analysis

Most Cited Works

Action Title Date Authors
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Linear Topological Spaces 1963-01-01 John L. Kelley Isaac Namioka William F. Donoghue Kenneth R. Lucas B. J. Pettis Ebbe Thue Poulsen G. Baley Price Wendy Robertson W. R. Scott Kennan T. Smith
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Convolution operators and L(p,q) spaces 1963-03-01 Richard O’Neil
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Semi-Groups of Operators and Approximation 1967-01-01 Paul P. Butzer Hubert Berens
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Parametrized Measures and Variational Principles 1997-01-01 Pablo Pedregal
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Theory of Approximation of Functions of a Real Variable 1963-01-01 A.F. TIMAN
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Topological vector spaces, distributions and kernels 2006-01-01 François Trèves
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Banach Spaces of Continuous Functions 2006-05-27 Zbigniew Semadeni
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Riesz Spaces II 1983-01-01 Adriaan C. Zaanen
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Approximation of functions 2006-07-20 John R. Rice
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Infinite Matrices and Sequence Spaces 1951-12-01 P. Vermes Richard G. Cooke
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Korovkin-type Approximation Theory and its Applications 1994-12-31 Francesco Altomare Michele Campıtı
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Theory of Function Spaces III 2006-01-01 Hans Triebel
Absolutely summing operators in $ℒ_{p}$-spaces and their applications 1968-01-01 Joram Lindenstrauss A. Pełczyński
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Approximation of functions 2017-04-14 George G. Lorentz
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On the subspaces ofL p (p>2) spanned by sequences of independent random variables 1970-09-01 Haskell P. Rosenthal
Learning Theory Estimates via Integral Operators and Their Approximations 2007-03-15 Steve Smale Ding‐Xuan Zhou
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Algorithms for approximation 1987-10-01 J. C. Mason M. G. Cox
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Weak convergence theorems for nonexpansive mappings in Banach spaces 1979-02-01 Simeon Reich
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Some results on Tchebycheffian spline functions 1971-01-01 George Kimeldorf Grace Wahba
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Linear Operators and Approximation Theory. 1965-02-01 Gian‐Carlo Rota P. P. Korovkin
On the Walsh functions 1949-01-01 N. J. Fine
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The Integrability of Certain Functions and Related Summability Methods 1959-05-01 I. J. Schoenberg
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Means of positive linear operators 1980-10-01 Fumio Kubo Tsuyoshi Andô
On convergence and growth of partial sums of Fourier series 1966-01-01 Lennart Carleson
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Martingales with values in uniformly convex spaces 1975-09-01 Gilles Pisier
Inequalities for strongly singular convolution operators 1970-01-01 Charles Fefferman
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Some properties of fractional integrals. I. 1928-12-01 G. H. Hardy J. E. Littlewood
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Metric Spaces and Completely Monotone Functions 1938-10-01 I. J. Schoenberg
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The Theory of Subnormal Operators 1991-06-26 John B. Conway
Some Approximation Theorems via Statistical Convergence 2002-03-01 Akif D. Gadjiev Cihan Orhan
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Integral operators in spaces of summable functions 1976-04-01 M. A. Krasnosel’skii P. P. Zabreyko Evgeniy Pustylnik P. E. Sobolevski
A splitting algorithm for dual monotone inclusions involving cocoercive operators 2011-11-28 Bằng Công Vũ
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Convergence of Probability Measures 1970-02-01 James L. Snell
On the maximality of sums of nonlinear monotone operators 1970-01-01 R. T. Rockafellar
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Norm Ideals of Completely Continuous Operators 1960-01-01 Robert Schatten
On Certain Sequence Spaces 1981-06-01 Hüsnü Kizmaz
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The Ordered Weighted Averaging Operators 1997-01-01 Ronald R. Yager Janusz Kacprzyk
Contributions to the problem of approximation of equidistant data by analytic functions. Part A. On the problem of smoothing or graduation. A first class of analytic approximation formulae 1946-04-01 I. J. Schoenberg
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On statistically convergent sequences of real numbers 1980-01-01 Tibor Šalát
Convergence of Probability Measures 1999-07-16 Patrick Billingsley
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Bernstein Polynomials 1993-01-01 Ronald DeVore George G. Lorentz
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Weak Convergence 1996-01-01 Aad van der Vaart Jon A. Wellner
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Linear Processes in Function Spaces 2000-01-01 Denis Bosq
Approximation by superpositions of a sigmoidal function 1992-12-01 George Cybenko
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A Relation Between Pointwise Convergence of Functions and Convergence of Functionals 1983-07-01 Haïm Brézis Élliott H. Lieb
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Integral operators in spaces of summable functions 1976-01-01 M. A. Krasnosel’skii П. П. Забрейко Evgeniy Pustylnik P. E. Sbolevskii
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Operator Theory in Function Spaces 2007-05-23 Kehe Zhu
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Fuzzy topology. I. Neighborhood structure of a fuzzy point and Moore-Smith convergence 1980-08-01 Pu Pao-Ming Liu Ying-ming
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Summability through Functional Analysis 1984-01-01 Albert Wilansky
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Γ-convergence for beginners 2002-01-01 Andrea Braides

Most Recent Works

Action Title Date Authors
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Some new operators based on Touchard polynomials 2025-04-11 Vijay Gupta
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On Almost L(M)-Weakly Compact and Order L(M)-Weakly Compact Operators Between Banach Lattices 2025-04-11 Şafak Alpay Svetlana Gorokhova
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The minimal $f^g$-statistical convergence and Cauchy degree of a sequence 2025-04-11 Tamim Aziz Sanjoy Ghosal
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Korovkin-Type Theorems for Positive Linear Operators Based on the Statistical Derivative of Deferred Cesàro Summability 2025-04-11 H. M. Srivastava Bidu Bhusan Jena Susanta Kumar Paikray U. K. Misra
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Defect Set Theory and Generalized Drazin Invertibility of Operator Matrices 2025-04-11 Aymen Bahloul Ines Walha
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Saturation Class of Generalized Exponential Sampling Operators 2025-04-12 Tuncer Acar Borislav R. Draganov Sadettin Kursun
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A characterization of numerical ranges for antilinear operators 2025-04-14 Boting Jia Ting Liu
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Creating a novel algorithm for studying the strong convergence to a sequence with applications 2025-04-15 Hasanen A. Hammad Mohammed E. Dafaalla Manal Elzain Mohamed Abdalla
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Approximation using Jakimovski–Leviatan operators of Durrmeyer type with 2D-Appell polynomials 2025-04-15 Manoj Kumar Nusrat Raza M. ‎Mursaleen
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The gE-Approximation Property Determined by the Banach Space E = ℓq(ℓp) 2025-04-15 Ju Myung Kim
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On Triple sequence space of Bernstein operator of Rough I- convergence pre-cauchy sequences 2025-04-16 Ayhan Eşi N. Subramanian Ayten Esi
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Rough statistical convergence on triple sequences 2025-04-16 Shyamal Debnath N. Subramanian
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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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Numerical and theoretical estimations of a generalized form of modified $$\alpha $$-Bernstein–Kantorovich operators 2025-04-17 Jaspreet Kaur Meenu Goyal Khursheed J‎. ‎Ansari
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On Durrmeyer Type Operator Linking Bernoulli Polynomials 2025-04-17 Deepak Malik Vijay Gupta
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On an open question concerning the domination problem in the class of almost BS-compact operators 2025-04-18 Mohamed Ali Hajji
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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 properties of some classes of Saphar type operators 2025-04-17 Ayoub Ghorbel Snežana Č. Živković-Zlatanović
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Toeplitz operators on several function spaces: decompositions yielding subnormality 2025-04-17 Chafiq Benhida George R. Exner Ji Eun Lee Jongrak Lee
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Lattice Lipschitz operators on $$C(K)-$$ spaces 2025-04-21 Roger Arnau J. M. Calabuig Enrique A. Sánchez‐Pérez
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Volterra Type Operator from Cauchy Transform Space into Weighted Zygmund Space 2025-04-21 Ebrahim Abbasi Yongmin Liu Daryoush Molaei
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On the Riesz summation of rational Fourier-Chebyshev integral operators and approximations of functions with a power singularity 2025-04-22 P. G. Patseika Yauheni A. Rouba Kanstantin A. Smatrytski
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On Some Sequence Spaces of Bicomplex Numbers 2025-04-21 Purushottam Parajuli Narayan Prasad Pahari Jhavi Lal Ghimire Manoj K. Jaiswal
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New Sequence Spaces Derived from the Catalan–Motzkin Matrix and Related Matrix Transformations 2025-04-23 Büşra Sarıgöz Oktar Muhammet Cihat Dağlı
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A note on the L-weakly completely continuous operators 2025-04-23 Aziz Elbour Khalid Bouras
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Approximation by new Baskakov operators 2025-04-23 Ahmed Fadhil Amal S. Hassan
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Dominated operators on the space of vector-valued essentially bounded measurable functions 2025-04-24 Marian Nowak
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Rough Lacunary Ideal Statistical Convergence of Double Sequences on Random n$$ n $$‐Normed Spaces 2025-04-24 Reena Antal Rachit Manchanda R Manjunatha Nilesh Bhosle Jasgurpreet Singh Chohan P. Mallikarjuna Rao Umesh Bhardwaj R. P. Thakur Mohamed Yusuf
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On order isomorphisms of norm attainment sets of continuous functions 2025-04-24 Koichi Igarashi Junichi Nakamura S. B. Roy Ryotaro Tanaka
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On the pair correlation statistic of sequences with the finite gap property 2025-04-25 Jasmin Fiedler Christian Weiß
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Gamma-type operators and composition 2025-04-25 Vijay Gupta V. D. Sharma
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Some Properties of Bessel I_2-Δ_θ^n-Asymptotically Statistical Equivalent Double Sequence of Order ρ ˜ 2025-04-25 Ömer Kı̇şı̇ Rümeysa Akbıyık
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On Some Optimization Properties of the Gauss–Weierstrass Operator 2025-04-26 I. V. Kal’chuk Y. V. Pryvalov
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New subclass of bi-univalent functions involving the Wright function associated with the Jung-Kim-Srivastav operator 2025-04-27 Mohammad El-Ityan Ala Amourah Suha Hammad Rafid Habib Buti Abdullah Alsoboh
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Restricted convergence of two-dimensional Nörlund means of Walsh–Fourier series 2025-04-28 Károly Nagy
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$\theta(\tau_1,\tau_2)$-continuity for Functions 2025-05-01 Montri Thongmoon Supunnee Sompong Chawalit Boonpok
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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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On $R$-$(\tau_1,\tau_2)$-continuous Functions 2025-05-01 Napassanan Srisarakham Supunnee Sompong Chawalit Boonpok
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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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Almost Contra-$(\tau_1,\tau_2)p$-continuity for Functions 2025-05-01 Prapart Pue-on Areeyuth Sama-Ae Chawalit Boonpok
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Generalization of \alpha-G-Contractions to j-G-Contractions on Uniform Spaces 2025-04-28 Atthakorn Sakda Sittichoke Songsa-ard
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Similarity of Operator on Analytic Function Spaces 2025-04-23 Yucheng Li
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Average case tractability of multivariate approximation with Gevrey type kernels 2025-05-01 Wanting Lu Heping Wang
Zeta Regularized Trigonometric Products Over Zeros Of The Riemann Zeta Function 2025-04-22 Efe Gürel
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Maps preserving the mean transforms of pairs of unitarily similar operators 2025-05-06 Abdellatif Bourhim Mostafa Mbekhta
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Approximation of Uniform Almost Periodic Functions by Inclusions and Integrals 2025-04-30 Talbakov Farkhodjon Makhmadshoevich
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A new type of convergence in partial metric spaces 2025-05-05 Fatıh Nuray Elif Nuray Yıldırım
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Dual binary-order fractional operators and transforms 2025-05-07 Aris Alexopoulos
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Spaces not distinguishing ideal pointwise and σ-uniform convergence 2025-05-01 Rafał Filipów Adam Kwela
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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