Local strong uniqueness
type: Item
instance of: scholarly article
title: Local strong uniqueness
zbMATH Open document ID: 0693.41026
DOI: 10.1016/0021-9045(89)90028-2
published in: Journal of Approximation Theory
publication date: 1989-01-01T00:00:00Z
review text: The authors study the problem of local strong uniqueness. They introduce the concepts of local strong uniqueness and directional local strong uniqueness of at best, at worst, or exact rate \(\phi\). The relation of local strong uniqueness of the ``conditioning'' of the approximation problem and to the modulus of convexity of the underlying space are noted. Special emphasis is given to \(L^ p\) approximation. Of particular interest here is that a continuum of local strong uniqueness rates is possible for \(L^ p\), \(1<p<2\); whereas, for \(2<p<\infty\), only one of two possible local strong uniqueness rates can occur for each approximation problem.
Mathematics Subject Classification ID: 41A52
Mathematics Subject Classification ID: 41A50
zbMATH DE Number: 4134735
zbMATH Keywords: local strong uniqueness
zbMATH Keywords: directional local strong uniqueness
author: A. G. Egger
author: G. D. (Jerry) Taylor
reviewed by: László Leindler
MaRDI profile type: Publication
full work available at URL: 0021-9045(89)90028-2
OpenAlex ID: W2001988093
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description: scientific article; zbMATH DE number 4134735