Extension of the best approximation operator in Orlicz spaces
type: Item
instance of: scholarly article
title: Extension of the best approximation operator in Orlicz spaces
zbMATH Open document ID: 1160.41308
DOI: 10.1155/2008/374742
author: Ivana Carrizo
author: S. Favier
author: F. Zó
published in: Abstract and Applied Analysis
publication date: 2008-08-19T00:00:00Z
full work available at URL: https://eudml.org/doc/55324
review text: The authors study an extension of the best approximation operator from an Orlicz space \(L^\phi\) to \(L^{\phi'}\).
reviewed by: Vladimir V. Peller
Mathematics Subject Classification ID: 41A35
Mathematics Subject Classification ID: 46E30
Mathematics Subject Classification ID: 47B38
zbMATH DE Number: 5313173
zbMATH Keywords: Orlicz space
zbMATH Keywords: best approximation operator
Wikidata QID: Q58644329
MaRDI profile type: Publication
OpenAlex ID: W2041161139
cites work: Best approximants in L ? -spaces
cites work: Isotonic approximation in \(L_ s\).
cites work: Isotonic approximation in \(L_{1}\)
cites work: Extension of the best approximation operator in Orlicz spaces and weak-type inequalities
cites work: A Lebesgue type differentiation theorem for best approximations by constants in Orlicz spaces
cites work: Maximal Inequalities for the Best Approximation Operator and Simonenko Indices
cites work: Maximal inequalities and Lebesgue's differentiation theorem for best approximant by constant over balls
cites work: A generalized Radon-Nikodym derivative
cites work: A characterization of best \(\varphi\)-approximants with applications to multidimensional isotonic approximation
cites work: Q5509984
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description: scientific article; zbMATH DE number 5313173