Approximation order for multivariate Durrmeyer operators with Jacobi weights
type: Item
instance of: scholarly article
title: Approximation order for multivariate Durrmeyer operators with Jacobi weights
zbMATH Open document ID: 1216.41019
DOI: 10.1155/2011/970659
author: Chan-Yun Yang
author: Shukai Duan
author: Jianjun Wang
published in: Abstract and Applied Analysis
publication date: 2011-05-16T00:00:00Z
full work available at URL: https://eudml.org/doc/224553
review text: Summary: Using the equivalence relation between \(K\)-functional and modulus of smoothness, we establish a strong direct theorem and an inverse theorem of weak type for multivariate Bernstein-Durrmeyer operators with Jacobi weights on a simplex. We also obtain a characterization for multivariate Bernstein-Durrmeyer operators with Jacobi weights on a simplex. The obtained results not only generalize the corresponding ones for Bernstein-Durrmeyer operators, but also give approximation order of Bernstein-Durrmeyer operators.
Mathematics Subject Classification ID: 41A36
zbMATH DE Number: 5888164
Wikidata QID: Q58654576
MaRDI profile type: Publication
OpenAlex ID: W2154765001
cites work: Bernstein-type operators and their derivatives
cites work: \(K\)-moduli, moduli of smoothness, and Bernstein polynomials on a simplex
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cites work: Bernstein-Durrmeyer polynomials on a simplex
cites work: Inverse theorems for multidimensional Bernstein-Durrmeyer operators in \(L_ p\)
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description: scientific article; zbMATH DE number 5888164