Approximation of unbounded functions by a new sequence of linear positive operators
type: Item
instance of: scholarly article
title: Approximation of unbounded functions by a new sequence of linear positive operators
zbMATH Open document ID: 0918.41021
author: Kareem J. Thamer
author: P. N. Agrawal
published in: Journal of Mathematical Analysis and Applications
publication date: 1999-08-04T00:00:00Z
review text: The paper is concerned with monotone operators applied to functions in \(C[0, \infty)\) for which \((1+t)^{-\alpha} | f(t)| \) is bounded. They are given in terms of Bernstein polynomials. Specifically, an integral with weight \(p_{n,k-1}\) determines the coefficient of \(p_{n,k}\).
reviewed by: D. Braess
Mathematics Subject Classification ID: 41A36
zbMATH DE Number: 1218244
zbMATH Keywords: positive operators
zbMATH Keywords: Bernstein polynomials
MaRDI profile type: Publication
full work available at URL: jmaa.1998.6036
OpenAlex ID: W2014700185
cites work: INVERSE THEOREM IN SIMULTANEOUS APPROXIMATION BY MICCHELLI COMBINATION OF BERNSTEIN POLYNOMIALS
cites work: On convergence of derivatives of Phillips operators
cites work: Sur l'approximation de fonctions intégrables sur l'interval-0,1-ferme par des polynômes de Bernstein modifies
cites work: Bernstein-type operators and their derivatives
cites work: A global inverse theorem on simultaneous approximation by Bernstein- Durrmeyer operators
cites work: Q4017983
cites work: Q5819609
DOI: 10.1006/JMAA.1998.6036
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description: scientific article; zbMATH DE number 1218244