Bivariate generalization of q-Bernstein-Kantorovich type operator

DOI10.1080/23311835.2016.1160587zbMath1426.41018OpenAlexW2307889769MaRDI QIDQ4966748

Preeti Sharma, Vishnu Narayan Mishra

Publication date: 27 June 2019

Published in: Cogent Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/23311835.2016.1160587

zbMATH Keywords

modulus of continuitypositive linear operators\(q\)-analysis\(q\)-Bernstein operators

Mathematics Subject Classification ID

Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Lipschitz (Hölder) classes (26A16) Rate of convergence, degree of approximation (41A25) Approximation by positive operators (41A36)

Related Items (3)

General family of exponential operators ⋮ Approximation by modified Jain-Baskakov-Stancu operators ⋮ Dunkl analouge of Szász Schurer Beta bivariate operators

Cites Work

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• Bernstein-Schurer-Kantorovich operators based on \(q\)-integers
• Statistical approximation of Baskakov and Baskakov-Kantorovich operators based on the \(q\)-integers
• \(A\)-statistical extension of the Korovkin type approximation theorem
• Rate of approximation by finite iterates of \(q\)-Durrmeyer operators
• Inverse result in simultaneous approximation by Baskakov-Durrmeyer-Stancu operators
• Bivariate \(q\)-Bernstein-Schurer-Kantorovich operators
• The inequalities for some types of \(q\)-integrals
• Statistical approximation properties of \(q\)-Bleimann, Butzer and Hahn operators
• Operators constructed by means of \(q\)-Lagrange polynomials and \(A\)-statistical approximation
• Statistical approximation properties of Stancu type q-Baskakov-Kantorovich operators
• Quantum calculus

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