Some results on best approximation in spaces with convex structure

Some generalizations of the result proved by S. P. Singh [J. Approx. Theory 25(1979), 89–90] are presented in convex metric spaces. The results proved contain several known results on the subject.

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Bibliographic Details
Published inAnalysis in theory & applications Vol. 24; no. 1; pp. 67 - 73
Main Author Narang, T. D.
Format Journal Article
LanguageEnglish
Published Heidelberg Editorial Board of Analysis in Theory and Applications 01.03.2008
Department of Mathematics Guru Nanak Dev University Amritsar-143005,India
Subjects
Analysis
Approximations and Expansions
Mathematics
Mathematics and Statistics
convex set
convex metric space
47H10
41A65
non-expansive map
affine map
41A50
starshaped set
54H25
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ISSN1672-4070
1573-8175
DOI10.1007/s10496-008-0067-7

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Summary:Some generalizations of the result proved by S. P. Singh [J. Approx. Theory 25(1979), 89–90] are presented in convex metric spaces. The results proved contain several known results on the subject.
ISSN:1672-4070
1573-8175
DOI:10.1007/s10496-008-0067-7