Approximating \(B\)-continuous functions using GBS operators of Bernstein-Schurer-Stancu type based on \(q\)-integers

DOI10.1016/j.amc.2015.02.030zbMath1390.41029OpenAlexW2005217609MaRDI QIDQ1635558

Carmen-Violeta Muraru, Dan Barbosu

Publication date: 7 June 2018

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

Full work available at URL: https://doi.org/10.1016/j.amc.2015.02.030

zbMATH Keywords

positive linear operator\(q\)-integersGBS operatorsmixed modulus of continuity\(B\)-continuous functionsSchurer-Stancu type operator

Mathematics Subject Classification ID

Multidimensional problems (41A63) Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25) Approximation by operators (in particular, by integral operators) (41A35) Approximation by positive operators (41A36)

Related Items (18)

Approximation properties of generalized Baskakov operators ⋮ GBS operators of Lupaş-Durrmeyer type based on Polya distribution ⋮ Approximation properties of Lupas-Kantorovich operators based on Polya distribution ⋮ Unnamed Item ⋮ On certain GBS-Durrmeyer operators based on $q$-integers ⋮ Approximation of $B$-continuous and $B$-differentiable functions by GBS operators of $q$-Bernstein--Schurer--Stancu type ⋮ GBS operators of Bernstein-Schurer-Kantorovich type based on \(q\)-integers ⋮ Blending type approximation by bivariate generalized Bernstein type operators ⋮ Blending type approximation by GBS operators of generalized Bernstein-Durrmeyer type ⋮ Modified Bernstein-Kantorovich operators for functions of one and two variables ⋮ Degree of approximation for bivariate generalized Bernstein type operators ⋮ Approximation by one and two variables of the Bernstein-Schurer-type operators and associated GBS operators on symmetrical mobile interval ⋮ On the approximation properties of \(q\)-analogue bivariate \(\lambda\)-Bernstein type operators ⋮ Bivariate Bernstein-Schurer-Stancu type GBS operators in \((p,q)\)-analogue ⋮ \(q\)-analogue of a Kantorovitch variant of an operator defined by Stancu ⋮ A new kind of bi-variate \(\lambda\)-Bernstein-Kantorovich type operator with shifted knots and its associated GBS form ⋮ Generalized Bernstein-Durrmeyer operators of blending type ⋮ Modifiedρ-Bernstein Operators for Functions of Two Variables

Cites Work

• Bivariate positive operators in polynomial weighted spaces
• Korovkin-type approximation properties of bivariate \(q\)-Meyer-König and Zeller operators
• On the \(q\)-Bernstein polynomials of rational functions with real poles
• \(q\)-Szász-Mirakyan-Kantorovich operators of functions of two variables in polynomial weighted spaces
• A survey of results on the limit \(q\)-Bernstein operator
• On \(q\)-analogue of Bernstein-Schurer-Stancu operators
• Approximation in statistical sense to n-variate B-continuous functions by positive linear operators
• A test function theorem and apporoximation by pseudopolynomials
• A survey of results on the q-Bernstein polynomials
• Statistical σ approximation to Bögel-type continuous functions
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