Recurrence formula and better approximation for \(q\)-Durrmeyer operators

DOI10.1134/S1995080211020065zbMath1255.41010MaRDI QIDQ694405

Vijay Gupta, Honey Sharma

Publication date: 12 December 2012

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

zbMATH Keywords

modulus of continuity\(q\)-integers\(q\)-Durrmeyer operators\(q\)-integeration

Mathematics Subject Classification ID

Rate of convergence, degree of approximation (41A25) Approximation by operators (in particular, by integral operators) (41A35) Approximation by positive operators (41A36) Basic hypergeometric functions (33D99)

Related Items (3)

Note on approximation properties of generalized Durrmeyer operators ⋮ On Durrmeyer-type generalization of \((p,q)\)-Bernstein operators ⋮ Approximation by \(q\) Baskakov-beta-Stancu operators

Cites Work

• Unnamed Item
• Approximation by \(q\)-Durrmeyer operators
• Sur l'approximation de fonctions intégrables sur l'interval-0,1-ferme par des polynômes de Bernstein modifies
• Positive linear operators which preserve \(x^2\)
• Some approximation properties of \(q\)-Durrmeyer operators
• Quantum calculus

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