\(L^p\) approximation by multivariate Baskakov-Durrmeyer operator
type: Item
instance of: scholarly article
title: \(L^p\) approximation by multivariate Baskakov-Durrmeyer operator
zbMATH Open document ID: 1217.41026
DOI: 10.1155/2011/158219
author: Feilong Cao
author: Yongfeng An
published in: Journal of Inequalities and Applications
publication date: 2011-05-13T00:00:00Z
full work available at URL: https://eudml.org/doc/227942
review text: The univariate Baskakov-Durrmeyer operators were investigated by \textit{A. Sahai} and \textit{G. Prasad} [J. Approximation Theory 45, 122--128 (1985; Zbl 0596.41035)] and \textit{M. Heilmann} [Approximation Theory Appl. 5, No. 1, 105--127 (1989; Zbl 0669.41014)]. In this paper, the authors introduce and study the multivariate Baskakov-Durrmeyer operators. By using a decomposition technique, they establish a strong direct inequality concerning the \(L^p\) approximation by these operators.
reviewed by: Ioan Raşa
Mathematics Subject Classification ID: 41A36
zbMATH DE Number: 5887664
zbMATH Keywords: multivariate Baskakov-Durrmeyer operators
zbMATH Keywords: strong direct inequality
Wikidata QID: Q59267144
MaRDI profile type: Publication
OpenAlex ID: W2065197579
cites work: Q3247255
cites work: Q3817079
cites work: Q3822651
cites work: On simultaneous approximation by modified Lupas operators
cites work: On multivariate Baskakov operator
cites work: Mixed and Directional Derivatives
description: scientific article; zbMATH DE number 5887664