Generalized Szász Durrmeyer operators

DOI10.1134/S1995080211010033zbMath1255.41006OpenAlexW2036054635MaRDI QIDQ694382

Vijay Gupta, Ali Aral

Publication date: 12 December 2012

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080211010033

zbMATH Keywords

modulus of continuity\(q\)-gamma function\(q\)-integers\(q\)-Szász-Durrmeyer operators

Mathematics Subject Classification ID

Rate of convergence, degree of approximation (41A25) (q)-gamma functions, (q)-beta functions and integrals (33D05) Approximation by positive operators (41A36)

Related Items (6)

Approximation by modified Szász-Durrmeyer operators ⋮ Approximation of the summation-integral-type \(q\)-Szász-Mirakjan operators ⋮ Approximation properties of bivariate extension of \(q\)-Szász-Mirakjan-Kantorovich operators ⋮ Unnamed Item ⋮ (p,q)‐Generalization of Szász–Mirakyan operators ⋮ Convergence of modified Szász-Mirakyan-Durrmeyer operators depending on certain parameters

Cites Work

• Unnamed Item
• The \(q\)-derivate and applications to \(q\)-Sz'asz Mirakyan operators
• A generalization of Szász-Mirakyan operators based on \(q\)-integers
• Approximation by \(q\)-Durrmeyer operators
• Generalized Bernstein-Chlodowsky polynomials
• Weighted approximation by a certain family of summation integral-type operators
• On integral representations of \(q\)-gamma and \(q\)-beta functions
• On the Durrmeyer type modification of the \(q\)-Baskakov type operators
• The rate of convergence ofq-Durrmeyer operators for 0<q<1
• Quantum calculus

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