\(q\)-Bernstein-Schurer-Durrmeyer type operators for functions of one and two variables

DOI10.1016/j.amc.2015.11.048zbMath1410.41022OpenAlexW2197956737MaRDI QIDQ668938

Arun Kajla, Meenu Goyal, Nurhayat İspir, Purshottam N. Agrawal

Publication date: 19 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.2015.11.048

zbMATH Keywords

rate of convergencemodulus of continuitydegree of approximation\(q\)-Bernstein-Schurer operatorsLipschitz type class

Mathematics Subject Classification ID

Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Convergence and divergence of series and sequences of functions (40A30) Rate of convergence, degree of approximation (41A25) Approximation by operators (in particular, by integral operators) (41A35) Simultaneous approximation (41A28)

Related Items (11)

Approximation by \((p,q)\)-Lupaş-Schurer-Kantorovich operators ⋮ On new Bézier bases with Schurer polynomials and corresponding results in approximation theory ⋮ Bivariate Bernstein Chlodovsky Operators Preserving Exponential Functions and Their Convergence Properties ⋮ Bivariate positive linear operators constructed by means of \(q\)-Lagrange polynomials ⋮ Blending type approximation by bivariate generalized Bernstein type operators ⋮ Blending type approximation by GBS operators of generalized Bernstein-Durrmeyer type ⋮ Approximation of functions by a new family of generalized Bernstein operators ⋮ Degree of approximation for bivariate generalized Bernstein type operators ⋮ On the approximation properties of \(q\)-analogue bivariate \(\lambda\)-Bernstein type operators ⋮ Approximation properties of certain Bernstein-Stancu type operators ⋮ Quantitative estimates for the tensor product (p,q)-Balázs-Szabados operators and associated generalized Boolean sum operators

Uses Software

• Maple

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Bernstein-Schurer-Kantorovich operators based on \(q\)-integers
• Stancu type generalization of modified Schurer operators based on \(q\)-integers
• \(q\)-Bernstein-Schurer-Kantorovich operators
• Approximation of Schurer type \(q\)-Bernstein-Kantorovich operators
• Some approximation properties of \(q\)-Durrmeyer operators
• ON STATISTICAL APPROXIMATION PROPERTIES OF MODIFIED q-BERNSTEIN-SCHURER OPERATORS
• The rate of convergence ofq-Durrmeyer operators for 0<q<1
• Applications of q-Calculus in Operator Theory
• Approximation theorems for q-Bernstein-Kantorovich operators
• Local approximation properties for certain King type operators
• Some approximation properties of a Durrmeyer variant of q‐Bernstein–Schurer operators

This page was built for publication: \(q\)-Bernstein-Schurer-Durrmeyer type operators for functions of one and two variables