Some identities for the operator of Bleimann, Butzer and Hahn involving divided differences
type: Item
instance of: scholarly article
title: Some identities for the operator of Bleimann, Butzer and Hahn involving divided differences
zbMATH Open document ID: 0931.41013
author: Ulrich Abel
author: Mircea Ivan
published in: Calcolo
publication date: 1999-01-01T00:00:00Z
review text: The authors give a set of identities involving divided differences and linear operators. These identities are used to derive some old and new properties of the operators of Bleimann-Butzer-Hahn from the corresponding properties of Bernstein operators. A Stancu-type form for the remainder of the Bleimann-Butzer-Hahn approximation process is obtained. The authors study also simultaneous approximation, preservation of convexity of higher-order, saturation and inverse theorems.
reviewed by: Ioan Raşa
Mathematics Subject Classification ID: 41A36
Mathematics Subject Classification ID: 41A40
Mathematics Subject Classification ID: 41A80
zbMATH DE Number: 1355394
zbMATH Keywords: Bleimann-Butzer-Hahn approximation
zbMATH Keywords: saturation
MaRDI profile type: Publication
full work available at URL: s100920050028
OpenAlex ID: W2017618524
DOI: 10.1007/S100920050028
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description: scientific article; zbMATH DE number 1355394