Anisotropic best [tau] ^sub C^ -approximation in normed spaces

The notions of the ... ... -Kolmogorov condition, the ... ... -sun and the ... ... -regular point are introduced, and the relationships between them and the best ... ... -approximation are explored. As a consequence, characterizations of best ... ... -approximations from some kind of subsets (not ne...

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Bibliographic Details
Published in:Optimization 2011-06, Vol.60 (6), p.725
Main Authors: Luo, Xian-Fa, Li, Chong, Yao, Jen-Chih
Format: Article
Language:English
Subjects:
Anisotropy
Approximation
Stochastic models
Studies
Topology
Online Access:Get full text
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Summary:The notions of the ... ... -Kolmogorov condition, the ... ... -sun and the ... ... -regular point are introduced, and the relationships between them and the best ... ... -approximation are explored. As a consequence, characterizations of best ... ... -approximations from some kind of subsets (not necessarily convex) are obtained. As an application, a characterization result for a set C to be smooth is given in terms of the ... ... -approximation. (ProQuest: ... denotes formulae/symbols omitted.)
ISSN:0233-1934
1029-4945