On the rate of convergence of the generalized Szász type operators for functions of bounded variation
type: Item
instance of: scholarly article
title: On the rate of convergence of the generalized Szász type operators for functions of bounded variation
zbMATH Open document ID: 0915.41016
published in: Journal of Mathematical Analysis and Applications
publication date: 1999-06-21T00:00:00Z
review text: Similarly to a Bézier-type modification of Bernstein polynomials introduced in 1983 by G. Chang, the author introduces the Szász-Bézier operator as a modification of the classical Szász-Mirakyan operator. The rate of convergence of the Szász-Bézier operator in the class of functions of bounded variation is then studied. The author proves that his estimates are, in a certain sense, optimal.
Mathematics Subject Classification ID: 41A36
zbMATH DE Number: 1228546
zbMATH Keywords: approximation by positive linear operators
zbMATH Keywords: rate of convergence
zbMATH Keywords: modifications of Szász-Mirakyan operators
zbMATH Keywords: bernstein polynomials
zbMATH Keywords: Szász-Bézier operator
zbMATH Keywords: Szász-Mirakyan operator
author: Xiao-Ming Zeng
reviewed by: Cătălin Badea
MaRDI profile type: Publication
full work available at URL: jmaa.1998.6063
OpenAlex ID: W2078138696
cites work: On the rate of convergence of Fourier-Legendre series of functions of bounded variation
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cites work: Q3338710
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cites work: Q3321154
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cites work: Rate of convergence of Bernstein polynomials for functions with derivatives of bounded variation
cites work: On the rate of convergence of two Bernstein-Bézier type operators for bounded variation functions
DOI: 10.1006/JMAA.1998.6063
description: scientific article; zbMATH DE number 1228546