On \((p,q)\)-analogue of modified Bernstein-Schurer operators for functions of one and two variables

DOI10.1007/s12190-016-0991-1zbMath1374.41009OpenAlexW2298790441MaRDI QIDQ1676964

Qing-Bo Cai

Publication date: 10 November 2017

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

Full work available at URL: https://doi.org/10.1007/s12190-016-0991-1

zbMATH Keywords

rate of convergenceLipschitz continuous functions\((p,q)\)-integersBernstein-Schurer operators\(A\)-statistical convergence

Mathematics Subject Classification ID

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

Related Items (3)

Weighted statistical convergence based on generalized difference operator involving \((p,q)\)-gamma function and its applications to approximation theorems ⋮ Bivariate Chlodowsky-Stancu variant of \((p, q)\)-Bernstein-Schurer operators ⋮ Statistical Summability of Double Sequences by the Weighted Mean and Associated Approximation Results

Cites Work

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• Some approximation results on Bernstein-Schurer operators defined by \((p,q)\)-integers
• \(A\)-statistical convergence of sequences of convolution operators
• Some approximation results by \((p, q)\)-analogue of Bernstein-Stancu operators
• On the fundamental theorem of \((p,q)\)-calculus and some \((p,q)\)-Taylor formulas
• Representations of two parameter quantum algebras and \(p,q\)-special functions
• ON STATISTICAL APPROXIMATION PROPERTIES OF MODIFIED q-BERNSTEIN-SCHURER OPERATORS
• Normal ordering for deformed boson operators and operator-valued deformed Stirling numbers
• Some approximation results on Bleimann-Butzer-Hahn operators defined by (p,q)-integers

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