Approximation by \( q \) Baskakov beta operators

DOI10.1007/S10255-011-0072-ZzbMath1262.41012OpenAlexW2963482210MaRDI QIDQ1942144

Ali Aral, Vijay Gupta

Publication date: 18 March 2013

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10255-011-0072-z

zbMATH Keywords

modulus of continuity\(K\)-functionalweighted approximation\(q\)-beta integralrate of approximation\(q\)-Baskakov operators\(q\)-Baskakov-beta operators

Mathematics Subject Classification ID

Rate of convergence, degree of approximation (41A25) Approximation by operators (in particular, by integral operators) (41A35)

Related Items (5)

Direct estimates in simultaneous approximation for BBS operators ⋮ Some approximation results on two parametric \(q\)-Stancu-beta operators ⋮ Bézier variant of Baskakov-beta-Stancu operators ⋮ Approximation by \(q\) Baskakov-beta-Stancu operators ⋮ Approximation properties of certain summation integral type operators

Cites Work

• A certain family of summation-integral type operators
• Approximation by \(q\)-Durrmeyer operators
• Weighted approximation by a certain family of summation integral-type operators
• On integral representations of \(q\)-gamma and \(q\)-beta functions
• The rate of convergence ofq-Durrmeyer operators for 0<q<1
• ON q-BASKAKOV TYPE OPERATORS
• On Korovkin Type Theorem in the Space of Locally Integrable Functions
• Quantum calculus
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