Approximation on simplices with respect to weighted Sobolev norms
type: Item
instance of: scholarly article
title: Approximation on simplices with respect to weighted Sobolev norms
zbMATH Open document ID: 0948.41004
author: D. Braess
author: Christoph Schwab
published in: Journal of Approximation Theory
publication date: 2000-11-19T00:00:00Z
full work available at URL: http://hdl.handle.net/20.500.11850/145859
review text: Direct and inverse estimates for triangles and more generally for simplices were obtained by polynomial approximation with respect to Sobolev norms. For this polynomial approximation inequalities of Jackson and Bernstein type were derived. Sharp estimates were obtained from a decomposition into orthogonal subspaces of different operators. These operators already served for the treatment of Bernstein-Durrmeyer operators [\textit{Th. Sauer}, Result. Math. 26, No. 1-2, 99-130 (1994; Zbl 0817.41014)].
Mathematics Subject Classification ID: 41A10
Mathematics Subject Classification ID: 41A17
zbMATH DE Number: 1443209
zbMATH Keywords: approximation by polynomials
zbMATH Keywords: inequalities in approximation
zbMATH Keywords: Bernstein-Durrmeyer operators
MaRDI profile type: Publication
OpenAlex ID: W1968206573
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DOI: 10.1006/JATH.1999.3429
description: scientific article; zbMATH DE number 1443209