Degree of approximation for bivariate extension of Chlodowsky-type $q$-Bernstein-Stancu-Kantorovich operators

DOI10.1016/j.amc.2017.02.007zbMath1411.41007OpenAlexW2594582649MaRDI QIDQ1735463

Behar Baxhaku, Purshottam N. Agrawal

Publication date: 28 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2017.02.007

zbMATH Keywords

weighted approximationGBS operatorspartial moduli of continuity$q$-Bernstein-Stancu-Kantorovich operatorsB-continuousB-differentiable

Mathematics Subject Classification ID

Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Lipschitz (Hölder) classes (26A16) Multidimensional problems (41A63) Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25) Approximation by positive operators (41A36)

Related Items (11)

Approximation properties of \(\lambda\)-Kantorovich operators ⋮ A characterization of the absolute continuity in terms of convergence in variation for the sampling Kantorovich operators ⋮ Detection of thermal bridges from thermographic images by means of image processing approximation algorithms ⋮ The approximation of bivariate blending variant Szász operators based Brenke type polynomials ⋮ On the approximation by Stancu-type bivariate Jakimovski-Leviatan-Durrmeyer operators ⋮ Bivariate positive linear operators constructed by means of \(q\)-Lagrange polynomials ⋮ On the approximation properties of \(q\)-analogue bivariate \(\lambda\)-Bernstein type operators ⋮ Convergence of sampling Kantorovich operators in modular spaces with applications ⋮ Extension of saturation theorems for the sampling Kantorovich operators ⋮ A new kind of bi-variate \(\lambda\)-Bernstein-Kantorovich type operator with shifted knots and its associated GBS form ⋮ Construction of Stancu-type Bernstein operators based on Bézier bases with shape parameter \(\lambda\)

Uses Software

• Python

Cites Work

• GBS operators of Lupaş-Durrmeyer type based on Polya distribution
• Approximation by max-product neural network operators of Kantorovich type
• On \(q\)-analogue of a complex summation-integral type operators in compact disks
• On linear combinations of multivariate generalized sampling type series
• Approximation by a complex \(q\)-Durrmeyer type operator
• Order of approximation for sampling Kantorovich operators
• Rate of approximation for multivariate sampling Kantorovich operators on some functions spaces
• GBS operators of Bernstein-Schurer-Kantorovich type based on \(q\)-integers
• On approximation properties of generalized Kantorovich-type sampling operators
• Über die mehrdimensionale Differentiation
• Chlodowsky-type \(q\)-Bernstein-Stancu-Kantorovich operators
• Statistical approximation properties of \(q\)-Baskakov-Kantorovich operators
• Approximation properties of bivariate extension of \(q\)-Bernstein-Schurer-Kantorovich operators
• Bivariate \(q\)-Bernstein-Schurer-Kantorovich operators
• Some approximation properties of \(q\)-Chlodowsky operators
• Approximation Results for a General Class of Kantorovich Type Operators
• Degree of Approximation for Nonlinear Multivariate Sampling Kantorovich Operators on Some Functions Spaces
• A test function theorem and apporoximation by pseudopolynomials
• Applications of q-Calculus in Operator Theory
• Convergence Estimates in Approximation Theory
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