A new kind of Bernstein-Schurer-Stancu-Kantorovich-type operators based on \(q\)-integers

DOI10.1186/S13660-017-1298-YzbMath1359.41010OpenAlexW2592785930WikidataQ41888189 ScholiaQ41888189MaRDI QIDQ515946

Ruchi Chauhan, Nurhayat İspir, Purshottam N. Agrawal

Publication date: 17 March 2017

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-017-1298-y

zbMATH Keywords

rate of convergencemodulus of continuityGBS operatorsmixed modulus of continuity\(q\)-Bernstein-Schurer-Kantorovich

Mathematics Subject Classification ID

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

Related Items (4)

Approximation properties of \(\lambda\)-Kantorovich operators ⋮ Bivariate q-Bernstein–Chlodowsky–Durrmeyer type operators and the associated GBS operators ⋮ Extended Bernstein-Kantorovich-Stancu Operators with Multiple Parameters and Approximation Properties ⋮ Construction of Stancu-type Bernstein operators based on Bézier bases with shape parameter \(\lambda\)

Uses Software

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Cites Work

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• Degree of approximation for bivariate Chlodowsky-Szasz-Charlier type operators
• GBS operators of Bernstein-Schurer-Kantorovich type based on \(q\)-integers
• \(q\)-Bernstein-Schurer-Kantorovich type operators
• Über die mehrdimensionale Differentiation
• Stancu-Schurer-Kantorovich operators based on \(q\)-integers
• \(K\)-functionals and moduli of smoothness of functions defined on compact metric spaces
• ON STATISTICAL APPROXIMATION PROPERTIES OF MODIFIED q-BERNSTEIN-SCHURER OPERATORS
• Über mehrdimensionale Differentiation, Integration und beschränkte Variation.
• Applications of q-Calculus in Operator Theory
• Quantum calculus

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