Some theorems on best \(L_ 1\)-approximation of continuous functions
type: Item
instance of: scholarly article
title: Some theorems on best \(L_ 1\)-approximation of continuous functions
zbMATH Open document ID: 0567.41028
DOI: 10.1007/BF01950298
published in: Acta Mathematica Hungarica
publication date: 1984-01-01T00:00:00Z
review text: This paper makes an attempt to unify the study of best \(L_ 1\)- approximation of vector-valued functions on convex bodies in \({\mathbb{R}}^ n\) by finite dimensional linear subspaces. Applying the results of the main theorem of the paper recaptures some known results as well as proving some new results. For example, one corollary is the uniqueness of best \(L_ 1\)-approximation of continuous complex-valued functions by different families of complex splines.
Mathematics Subject Classification ID: 41A65
Mathematics Subject Classification ID: 41A50
Mathematics Subject Classification ID: 41A15
zbMATH DE Number: 3905168
zbMATH Keywords: best \(L_ 1\)-approximation
zbMATH Keywords: vector-valued functions
zbMATH Keywords: complex splines
author: András Kroó
MaRDI profile type: Publication
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cites work: Q5595759
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full work available at URL: https://doi.org/10.1007/bf01950298
OpenAlex ID: W2021111309
description: scientific article; zbMATH DE number 3905168