On the iterates of some Bernstein-type operators
type: Item
instance of: scholarly article
title: On the iterates of some Bernstein-type operators
zbMATH Open document ID: 0872.41009
published in: Journal of Mathematical Analysis and Applications
publication date: 1997-07-06T00:00:00Z
review text: The authors establish two basic identities of functional type between the iterates of the Bleimann-Butzer-Hahn operator and those of the Bernstein operator, on the one hand, and the iterates of the modified Meyer-König and Zeller operator and those of the Baskakov operator, on the other. These identities enable them to transfer properties of these operators from one to another. Attention is focussed on the limit behaviour of the iterates and the linear combination of iterates of Fejér-Korovkin type. This paper continues a study begun by \textit{G. Bleimann}, \textit{P. L. Butzer} and \textit{L. Hahn} [Indag. Math. 42, 255-262 (1980; Zbl 0437.41021)].
Mathematics Subject Classification ID: 41A36
zbMATH DE Number: 1031620
zbMATH Keywords: modified Meyer-König operator
zbMATH Keywords: Bleimann-Butzer-Hahn operator
zbMATH Keywords: Bernstein operator
zbMATH Keywords: Zeller operator
zbMATH Keywords: Baskakov operator
author: José A. Adell
author: F. G. Badía
author: Jesús de la Cal
reviewed by: H. R. Dowson
MaRDI profile type: Publication
full work available at URL: jmaa.1997.5371
OpenAlex ID: W2006211888
cites work: Q3878114
cites work: Bernstein Power Series
cites work: Linearkombinationen von iterierten Bernsteinoperatoren
cites work: Q3679682
cites work: Q5615180
cites work: Iteration of positive approximation operators
cites work: Iterates of Bernstein polynomials
cites work: Reverse martingales and approximation operators
cites work: Q3840971
cites work: Q4172415
cites work: The saturation class and iterates of the Bernstein polynomials
cites work: Q3324405
DOI: 10.1006/JMAA.1997.5371
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description: scientific article; zbMATH DE number 1031620