Inverse approximation and GBS of bivariate Kantorovich type sampling series

DOI10.1007/S13398-020-00805-7zbMath1434.41007arXiv1905.12074OpenAlexW3003170590MaRDI QIDQ2293244

Yanyan Li

Publication date: 7 February 2020

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.12074

zbMATH Keywords

rate of convergenceGBS operatorsmixed modulus of smoothnessinverse resultbivariate Kantorovich type sampling series

Mathematics Subject Classification ID

Approximation by polynomials (41A10) Approximation by other special function classes (41A30) Inverse theorems in approximation theory (41A27) Sampling theory in information and communication theory (94A20)

Related Items (12)

Approximation by Durrmeyer Type Exponential Sampling Operators ⋮ Multidimensional sampling-Kantorovich operators in \textit{BV}-spaces ⋮ Convergence of semi-discrete exponential sampling operators in Mellin-Lebesgue spaces ⋮ Bivariate generalized Kantorovich-type exponential sampling series ⋮ On bivariate Kantorovich exponential sampling series ⋮ Characterization of deferred type statistical convergence andP‐summability method for operators: Applications toq‐Lagrange–Hermite operator ⋮ Approximation properties of mixed sampling-Kantorovich operators ⋮ Approximation properties of generalized \(\lambda\)-Bernstein-Kantorovich type operators ⋮ On the approximation properties of \(q\)-analogue bivariate \(\lambda\)-Bernstein type operators ⋮ Direct and inverse results for Kantorovich type exponential sampling series ⋮ Boundedness properties of semi-discrete sampling operators in Mellin-Lebesgue spaces ⋮ On Approximation by Kantorovich Exponential Sampling Operators

Cites Work

• Degree of approximation for bivariate Chlodowsky-Szasz-Charlier type operators
• GBS operators of Lupaş-Durrmeyer type based on Polya distribution
• Asymptotic formulae for linear combinations of generalized sampling operators
• Asymptotic formulae for multivariate Kantorovich type generalized sampling series
• Approximation by means of nonlinear Kantorovich sampling type operators in Orlicz spaces
• Mixed K-functionals: A measure of smoothness for blending-type approximation
• Rate of convergence of Lupas Kantorovich operators based on Polya distribution
• Recent advances in constructive approximation theory
• Blending type approximation by GBS operators of generalized Bernstein-Durrmeyer type
• On Kantorovich modification of \((p,q)\)-Bernstein operators
• \(K\)-functionals and moduli of smoothness of functions defined on compact metric spaces
• Extension of saturation theorems for the sampling Kantorovich operators
• Approximation of discontinuous signals by sampling Kantorovich series
• Approximation by Nonlinear Multivariate Sampling Kantorovich Type Operators and Applications to Image Processing
• Degree of Approximation for Nonlinear Multivariate Sampling Kantorovich Operators on Some Functions Spaces
• Generalized Sampling Approximation of Bivariate Signals: Rate of Pointwise Convergence
• A test function theorem and apporoximation by pseudopolynomials
• Sampling Theory for not Necessarily Band-Limited Functions: A Historical Overview
• Quantitative Estimates of Generalized Boolean Sum Operators of Blending Type
• An Inverse Result of Approximation by Sampling Kantorovich Series
• Convergence Estimates in Approximation Theory
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