On certain Durrmeyer type \(q\) Baskakov operators

DOI10.1007/S11565-010-0106-0zbMath1205.41014OpenAlexW2087548158MaRDI QIDQ627021

Juan-Miguel Gracia

Publication date: 19 February 2011

Published in: Annali dell'Università di Ferrara. Sezione VII. Scienze Matematiche (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11565-010-0106-0

zbMATH Keywords

modulus of continuity\(K\)-functional\(q\)-Baskakov operatorsDurrmeyer type \(q\) Baskakov operators

Mathematics Subject Classification ID

Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Rate of convergence, degree of approximation (41A25) Approximation by operators (in particular, by integral operators) (41A35)

Related Items (3)

Approximation by Baskakov-Durrmeyer-Stancu operators based on \(q\)-integers ⋮ Approximation properties of \(q\)-Baskakov-Durrmeyer-Stancu operators ⋮ Approximation by \(q\) Baskakov-beta-Stancu operators

Cites Work

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• Approximation for modified Baskakov Durrmeyer type operators
• On statistical approximation of a general class of positive linear operators extended in \(q\)-calculus
• On integral representations of \(q\)-gamma and \(q\)-beta functions
• On converse approximation theorems
• On the Durrmeyer type modification of the \(q\)-Baskakov type operators
• ON q-BASKAKOV TYPE OPERATORS
• Quantum calculus

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