Some properties of the Bézier-Kantorovich type operators
type: Item
instance of: scholarly article
title: Some properties of the Bézier-Kantorovich type operators
zbMATH Open document ID: 1029.41009
DOI: 10.1016/S0021-9045(03)00106-0
author: Paulina Pych-Taberska
published in: Journal of Approximation Theory
publication date: 2003-08-25T00:00:00Z
review text: The author considers Kantorovich-Bézier type modifications of the discrete Feller operators in some classes of bounded measurable functions on an interval \(I\) (in particular, functions of bounded \(p\)th power variation on \(I\)). For such operators, estimates of the rate of pointwise convergence are given. The results generalize and extend those of \textit{X. M. Zeng} and \textit{A. Piriou} [J. Approximation Theory 95, 369--387 (1998; Zbl 0918.41016) and ibid. 104, 330--344 (2000; Zbl 0968.41011)].
Mathematics Subject Classification ID: 41A36
Mathematics Subject Classification ID: 41A25
zbMATH DE Number: 1970540
zbMATH Keywords: discrete Feller operators
zbMATH Keywords: Kantorovich-Bézier operators
zbMATH Keywords: rate of pointwise convergence
reviewed by: Ioan Raşa
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1970540