On the analyticity of functions approximated by their \(q\)-Bernstein polynomials when \(q > 1\)
type: Item
instance of: scholarly article
title: On the analyticity of functions approximated by their \(q\)-Bernstein polynomials when \(q > 1\)
zbMATH Open document ID: 1204.30026
author: Sofiya Ostrovska
author: I. V. Ostrovskii
published in: Applied Mathematics and Computation
publication date: 2010-10-11T00:00:00Z
Mathematics Subject Classification ID: 30E10
zbMATH DE Number: 5798084
zbMATH Keywords: \(q\)-integers
zbMATH Keywords: \(q\)-Bernstein polynomials
zbMATH Keywords: uniform convergence
zbMATH Keywords: analytic continuation
MaRDI profile type: Publication
full work available at URL: j.amc.2010.04.020
OpenAlex ID: W2062504940
cites work: A generalization of the Bernstein polynomials
cites work: Q4273944
cites work: A Markov-type inequality for arbitrary plane continua
cites work: On genuine Bernstein-Durrmeyer operators
cites work: Simultaneous approximation by Bernstein-Sikkema operators
cites work: Asymptotics of the roots of Bernstein polynomials used in the construction of modified Daubechies wavelets.
cites work: Random Bernstein Polynomials
cites work: Q3525289
cites work: The approximation of power function by the q-Bernstein polynomials in the case qϡ1
cites work: The saturation of convergence on the interval [0,1] for the \(q\)-Bernstein polynomials in the case \(q>1\)
cites work: The norm estimates for the $q$-Bernstein operator in the case $q>1$
cites work: Q3374399
cites work: Convergence of generalized Bernstein polynomials
cites work: Korovkin-type theorem and application
cites work: \(q\)-Bernstein polynomials of the Cauchy kernel
cites work: \(q\)-Bernstein polynomials and their iterates.
cites work: On the approximation of analytic functions by the \(q\)-Bernstein polynomials in the case \(q>1\)
cites work: The eigenstructure of the Bernstein operator
cites work: Q3840971
DOI: 10.1016/J.AMC.2010.04.020
description: scientific article; zbMATH DE number 5798084