AN ESTIMATE OF THE RATE OF CONVERGENCE OF A BÉZIER VARIANT OF THE BASKAKOV-KANTOROVICH OPERATORS FOR BOUNDED VARIATION FUNCTIONS

DOI10.1515/dema-2003-0114zbMath1028.41016OpenAlexW1019285148MaRDI QIDQ4406182

Ulrich Abel, Vijay Gupta

Publication date: 15 January 2004

Published in: Demonstratio Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/dema-2003-0114

zbMATH Keywords

rate of convergencefunctions of bounded variationapproximation by positive operators

Mathematics Subject Classification ID

Rate of convergence, degree of approximation (41A25) Approximation by positive operators (41A36) Functions of bounded variation, generalizations (26A45)

Related Items

Bézier variant of the generalized Baskakov Kantorovich operators ⋮ Bézier variant of modified \(\alpha\)-Bernstein operators ⋮ Bézier variant of the Szász-Durrmeyer type operators based on the Poisson-Charlier polynomials ⋮ Bézier variant of Bernstein–Durrmeyer blending-type operators ⋮ Approximation by Bezier variant of Jakimovski-Leviatan-Paltanea operators involving Sheffer polynomials. ⋮ Bézier type Kantorovich \(q\)-Baskakov operators via wavelets and some approximation properties ⋮ Semi post-Widder operators and difference estimates ⋮ On wavelet type generalized Bézier operators ⋮ On the Bézier Variant of the Srivastava-Gupta Operators ⋮ The Bézier variant of Kantorovitch operators ⋮ Approximation by Bézier variant of the Baskakov-Kantorovich operators in the case \(0<\alpha <1\) ⋮ Rate of convergence of exponential type operators related to \(p(x) =2x^{3/2}\) for functions of bounded variation ⋮ Preservation properties of the Baskakov-Kantorovich operators ⋮ Statistical approximation properties of \(q\)-Baskakov-Kantorovich operators ⋮ Some estimations of summation-integral-type operators ⋮ Baskakov operators and Jacobi weights: pointwise estimates ⋮ On new exponential-type operators ⋮ An estimate on the convergence of Baskakov-Bézier operators