Mazur-Orlicz theorem and asymptotic formula for the error in supreme norm
type: Item
instance of: scholarly article
title: Mazur-Orlicz theorem and asymptotic formula for the error in supreme norm
zbMATH Open document ID: 1057.41013
published in: Journal of Computational and Applied Mathematics
publication date: 2004-08-16T00:00:00Z
review text: The authors continue their study on the use of Mazur-Orlicz theorem. Related results have been established to calculate asymptotic formulas for the errors, by \textit{M. Beśka} and \textit{K. Dziedziul} [Numer. Math. 89, No. 3, 445--456 (2001; Zbl 1011.41001)] in cardinal interpolation, by \textit{K. Dziedziul} [Appl. Math. 29, No. 1, 33--41 (2002; Zbl 1053.41024)] in shift invariant operators of polynomial order and by \textit{M. Beśka} and \textit{K. Dziedziul} [Math. Nachr. 233--234, 47--53 (2002; Zbl 0990.41006)] in orthogonal projections.
Mathematics Subject Classification ID: 41A35
Mathematics Subject Classification ID: 41A60
zbMATH DE Number: 2091378
zbMATH Keywords: asymptotic error in approximation
zbMATH Keywords: Mazur-Orlicz theorem
zbMATH Keywords: supreme norm
author: Marek Beśka
author: Karol Dziedziul
reviewed by: Luigi Gatteschi
MaRDI profile type: Publication
full work available at URL: j.cam.2003.09.056
OpenAlex ID: W2025456487
cites work: Asymptotic formula for the error in cardinal interpolation
cites work: The asymptotic formula for the error in orthogonal projection
cites work: Q3955608
cites work: Q2762594
cites work: Application of Mazur–Orlicz's theorem in AMISE calculation
DOI: 10.1016/J.CAM.2003.09.056
description: scientific article; zbMATH DE number 2091378