Approximation by Baskakov-Durrmeyer-Stancu operators based on \(q\)-integers

DOI10.1134/S1995080213020121zbMath1280.41022OpenAlexW2088870566MaRDI QIDQ372804

Purshottam N. Agrawal, Durvesh Kumar Verma

Publication date: 21 October 2013

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

Full work available at URL: https://doi.org/10.1134/s1995080213020121

zbMATH Keywords

Voronovskaja type theoremBaskakov-Durrmeyer-Stancu operators

Mathematics Subject Classification ID

Approximation by positive operators (41A36)

Related Items (7)

Approximation properties of \(q\)-Kantorovich-Stancu operator ⋮ On statistical approximation properties of \(q\)-Baskakov-Szász-Stancu operators ⋮ Some statistical approximation properties of Kantorovich-type \(q\)-Bernstein-Stancu operators ⋮ Approximation properties of \(q\)-Baskakov-Durrmeyer-Stancu operators ⋮ Approximation by \(q\)-Baskakov Durrmeyer type operators ⋮ Approximation of Schurer type \(q\)-Bernstein-Kantorovich operators ⋮ Modified Baskakov-Szász Operators Based on q-Integers

Cites Work

• On Stancu type generalization of \(q\)-Baskakov operators
• On certain Durrmeyer type \(q\) Baskakov operators
• On the rate of approximation by \(q\) modified beta operators
• On discrete \(q\)-beta operators
• A generalization of Szász-Mirakyan operators based on \(q\)-integers
• Approximation by \(q\)-Durrmeyer operators
• \(q\)-Bernstein polynomials and their iterates.
• Positive linear operators which preserve \(x^2\)
• Approximation properties of \(q\)-Baskakov operators
• On converse approximation theorems
• 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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