Some approximation properties of \(q\)-Baskakov-Durrmeyer operators

DOI10.1016/J.AMC.2011.01.057zbMath1242.41021OpenAlexW2024754390MaRDI QIDQ648193

Vijay Gupta, Ali Aral

Publication date: 22 November 2011

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

Full work available at URL: https://doi.org/10.1016/j.amc.2011.01.057

zbMATH Keywords

\(q\)-beta functioncentral moments\(q\)-integers\(q\)-Baskakov-Durrmeyer operators

Mathematics Subject Classification ID

Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Approximation by operators (in particular, by integral operators) (41A35) (q)-gamma functions, (q)-beta functions and integrals (33D05)

Related Items (8)

Approximation with an arbitrary order by modified Baskakov type operators ⋮ Approximation by a complex \(q\)-Baskakov-Stancu operator in compact disks ⋮ Inequalities and numerical results of approximation for bivariate $q$-Baskakov-Durrmeyer type operators including q-improper integral ⋮ Different Durrmeyer Variants of Baskakov Operators ⋮ Approximation by q-Baskakov–Durrmeyer Type Operators of Two Variables ⋮ The Durrmeyer type modification of the \(q\)-Baskakov type operators with two parameter \(\alpha\) and \(\beta\) ⋮ Approximation by \(q\)-Baskakov Durrmeyer type operators ⋮ \((p,q)\)-gamma operators which preserve \(x^2\)

Cites Work

• A certain family of summation-integral type operators
• Positive linear operators which preserve \(x^2\)
• On integral representations of \(q\)-gamma and \(q\)-beta functions
• On the Durrmeyer type modification of the \(q\)-Baskakov type operators
• Quantum calculus

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