A new estimate on the rate of convergence of Durrmeyer--Bézier operators
type: Item
instance of: scholarly article
title: A new estimate on the rate of convergence of Durrmeyer--Bézier operators
zbMATH Open document ID: 1178.41017
DOI: 10.1155/2009/702680
author: Pinghua Wang
author: Yali Zhou
published in: Journal of Inequalities and Applications
publication date: 2009-11-03T00:00:00Z
full work available at URL: https://eudml.org/doc/117819
review text: The article is concerned with the Durrmeyer--Bézier operators introduced by \textit{X.-M. Zeng} and \textit{W. Chen} [J. Approximation Theory 102, No. 1, 1--12 (2000; Zbl 0956.41013)]. For functions of bounded variation the authors obtain a new estimate of the rate of convergence, which improves the corresponding result given by Zeng and Chen. The proofs are based on probabilistic methods and inequality techniques.
reviewed by: Ioan Raşa
Mathematics Subject Classification ID: 41A36
zbMATH DE Number: 5624570
zbMATH Keywords: Durrmeyer--Bézier operators
zbMATH Keywords: rate of convergence
MaRDI profile type: Publication
OpenAlex ID: W2016780515
Wikidata QID: Q59248850
cites work: On the rate of convergence of the generalized Durrmeyer type operators for functions of bounded variation
cites work: Rate of convergence of Bernstein polynomials for functions with derivatives of bounded variation
cites work: Sur l'approximation de fonctions intégrables sur l'interval-0,1-ferme par des polynômes de Bernstein modifies
cites work: On the rate of convergence of the Durrmeyer operator for functions of bounded variation
cites work: Rate of convergence for the modified Szász-Mirakyan operators on functions of bounded variation
cites work: Q3321154
cites work: Rate of convergence of Baskakov-Bézier type operators for locally bounded functions.
Recommended article: Q4885063
Recommended article: Q3307122
Recommended article: Q4897605
Recommended article: On the rate of convergence of bezier variant of Szasz-Durrmeyer operators
Recommended article: Q3406673
Recommended article: On the rate of convergence of the Bézier type operators
Recommended article: Q5188836
Recommended article: Q4864329
Recommended article: Rate of convergence for the Bézier variant of the Bleimann--Butzer--Hahn operators
Recommended article: Q4673773
description: scientific article; zbMATH DE number 5624570