Approximation of $B$-continuous and $B$-differentiable functions by GBS operators of $q$-Bernstein--Schurer--Stancu type

DOI10.3906/mat-1509-66zbMath1424.41046OpenAlexW2557608340MaRDI QIDQ4633688

Purshottam N. Agrawal, Manjari Sidharth, Nurhayat İspir

Publication date: 3 May 2019

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3906/mat-1509-66

zbMATH Keywords

modulus of smoothnessdegree of approximationGBS operators\(B\)-continuous\(B\)-differentiablepartial moduli of continuity\(q\)-Bernstein-Schurer-Stancu operators

Mathematics Subject Classification ID

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

Related Items (7)

Convergence theorems in Orlicz and Bögel continuous functions spaces by means of Kantorovich discrete type sampling operators ⋮ Linking of Bernstein-Chlodowsky and Szász-Appell-Kantorovich type operators ⋮ Quantitative Estimates of Generalized Boolean Sum Operators of Blending Type ⋮ Weighted approximation and GBS of Chlodowsky-Szász-Kantorovich type operators ⋮ Approximation by one and two variables of the Bernstein-Schurer-type operators and associated GBS operators on symmetrical mobile interval ⋮ Bivariate Bernstein-Schurer-Stancu type GBS operators in \((p,q)\)-analogue ⋮ Bivariate q-Bernstein–Chlodowsky–Durrmeyer type operators and the associated GBS operators

Uses Software

• Maple

Cites Work

• GBS operators of Bernstein-Schurer-Kantorovich type based on \(q\)-integers
• Mixed K-functionals: A measure of smoothness for blending-type approximation
• Über die mehrdimensionale Differentiation
• Approximating \(B\)-continuous functions using GBS operators of Bernstein-Schurer-Stancu type based on \(q\)-integers
• \(K\)-functionals and moduli of smoothness of functions defined on compact metric spaces
• Bivariate \(q\)-Bernstein-Schurer-Kantorovich operators
• A test function theorem and apporoximation by pseudopolynomials
• THE DEGREE OF CONVERGENCE OF SEQUENCES OF LINEAR POSITIVE OPERATORS
• Quantum calculus
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