Simultaneous Approximation Properties of q-Modified Beta Operators

DOI10.1007/978-81-322-2485-3_13zbMath1337.41006OpenAlexW2310900050MaRDI QIDQ2801907

Karunesh Kumar Singh, Girish Dobhal, Asha Ram Gairola

Publication date: 22 April 2016

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-81-322-2485-3_13

zbMATH Keywords

convergencemodulus of smoothness\(q\)-integersrate of approximation\(q\)-modified beta operator

Mathematics Subject Classification ID

Approximation by operators (in particular, by integral operators) (41A35)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the rate of approximation by \(q\) modified beta operators
• Convergence of generalized Bernstein polynomials
• The \(q\)-derivate and applications to \(q\)-Sz'asz Mirakyan operators
• Voronovskaya-type formulas and saturation of convergence for \(q\)-Bernstein polynomials for \(0 < q < 1\)
• The moments for \(q\)-Bernstein operators in the case \(0<q<1\)
• On certain \(q\)-Durrmeyer type operators
• \(q\)-Bernstein polynomials and their iterates.
• Interpolation and approximation by polynomials
• Saturation of convergence for \(q\)-Bernstein polynomials in the case \(q\geqslant 1\)
• Some approximation properties of \(q\)-Chlodowsky operators
• Properties of convergence for \(\omega,q\)-Bernstein polynomials
• 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 \(0<q<1\)
• Moments of a q-Baskakov-beta operators in case 0<q<1
• The rate of convergence ofq-Durrmeyer operators for 0<q<1
• Applications of q-Calculus in Operator Theory
• Quantum calculus

This page was built for publication: Simultaneous Approximation Properties of q-Modified Beta Operators