On discrete \(q\)-beta operators

DOI10.1007/S11565-011-0118-4zbMath1252.41014OpenAlexW2000834992MaRDI QIDQ638634

Vijay Gupta, Durvesh Kumar Verma, Purshottam N. Agrawal

Publication date: 13 September 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/s11565-011-0118-4

zbMATH Keywords

Ditzian-Totik modulus of smoothnessq-beta operatorsq-integer

Mathematics Subject Classification ID

Rate of convergence, degree of approximation (41A25) Approximation by other special function classes (41A30)

Related Items (4)

Statistical approximation by Kantorovich-type discrete \(q\)-beta operators ⋮ Approximation by Baskakov-Durrmeyer-Stancu operators based on \(q\)-integers ⋮ Properties of \(q\)-analogue of beta operator ⋮ On \(q\)-analogue of modified Kantorovich-type discrete-Beta operators

Cites Work

• New approach to \(q\)-Euler polynomials of higher order
• Korovkin-type approximation theory and its applications
• Approximation properties of \(q\)-Baskakov operators
• Some approximation properties of \(q\)-Durrmeyer operators
• On integral representations of \(q\)-gamma and \(q\)-beta functions
• The rate of convergence of \(q\)-Bernstein polynomials for \(0<q<1\)
• On the Durrmeyer type modification of the \(q\)-Baskakov type operators
• Generalized q-Baskakov operators
• Quantum calculus
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