Paper Information

Title: 

BEST SIMULTANEOUS APPROXIMATION IN LP(S,X)

Type: SPEECH
Author(s): HADADI M.R.*
 
 *FACULTY OF MATHEMATICAL SCIENCES, YAZD UNIVERSITY
 
Name of Seminar: SEMINAR ON MATHEMATICAL ANALYSIS AND ITS APPLICATIONS (SMAA18)
Type of Seminar:  CONFERENCE
Sponsor:  FACULTY OF MATHEMATICAL SCIENCES AND COMPUTER, TARBIAT MOALLEM UNIVERSITY
Date:  2009Volume 18
 
 
Abstract: 

As a counterpart to best approximation in normed linear spaces, best simultaneous approximation was introduced. In this paper, we shall consider the relation between simultaneous proximinality M in X and Lp(S,M) in Lp(S,X). Finally we give some results in simultaneous Chebyshev subspaces.

 
Keyword(s): SIMULTANEOUS PROXIMINAL SUBSPACES, SIMULTANEOUS CHEBYSHEV SUBSPACE, REFLEXIVE SUBSPACE, UNIFORMLY INTEGRABLE
 
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