Approximation of bounded variation functions by a Bézier variant of the Bleimann, Butzer, and Hahn operators
type: Item
instance of: scholarly article
title: Approximation of bounded variation functions by a Bézier variant of the Bleimann, Butzer, and Hahn operators
zbMATH Open document ID: 1116.41025
DOI: 10.1155/IJMMS/2006/37253
author: Vijay Gupta
author: Ogün Doğru
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2007-06-13T00:00:00Z
full work available at URL: https://eudml.org/doc/53238
review text: The authors investigate the rate of convergence of the Bézier variant of Bleimann, Butzer, and Hahn operators on bounded variation functions. They give a sharp estimate which improves the results established by \textit{H. M. Srivastava} and \textit{V. Gupta} [Appl. Math. Lett. 18, No. 8, 849--857 (2005; Zbl 1084.41010)] and \textit{J. de la Cal} and \textit{V. Gupta} [J. Inequal. Pure Appl. Math. 6, No. 1, Paper No. 4 (2005; Zbl 1085.41016)].
Mathematics Subject Classification ID: 41A36
Mathematics Subject Classification ID: 41A25
zbMATH DE Number: 5164023
zbMATH Keywords: positive linear operators
zbMATH Keywords: rate of convergence
reviewed by: Ioan Raşa
MaRDI profile type: Publication
cites work: Some identities for the operator of Bleimann, Butzer and Hahn involving divided differences
cites work: Rate of convergence for the Bézier variant of the Bleimann--Butzer--Hahn operators
cites work: Q5699791
cites work: Q5475603
OpenAlex ID: W2026404853
description: scientific article; zbMATH DE number 5164023