A general approach to the study of Chebyshev subspaces in \(L_ 1\)- approximation of continuous functions
type: Item
instance of: scholarly article
title: A general approach to the study of Chebyshev subspaces in \(L_ 1\)- approximation of continuous functions
zbMATH Open document ID: 0632.41019
DOI: 10.1016/0021-9045(87)90024-4
author: András Kroó
published in: Journal of Approximation Theory
publication date: 1987-01-01T00:00:00Z
review text: The author considers the problem of characterising those subspaces of C(K,X), where K is a compact subject of \(R^ n\) and X is a real Banach space, that have the following property: there is a unique best \(L^ 1\) approximation with respect to all positive weights. Some applications of the main results are given.
Mathematics Subject Classification ID: 41A65
zbMATH DE Number: 4028074
zbMATH Keywords: Banach space
zbMATH Keywords: unique best \(L^ 1\) approximation
zbMATH Keywords: positive weights
zbMATH Keywords: applications
reviewed by: H. R. Dowson
MaRDI profile type: Publication
full work available at URL: 0021-9045(87)90024-4
OpenAlex ID: W1999995028
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description: scientific article; zbMATH DE number 4028074