ON THE BEST APPROXIMATION IN SMOOTH AND UNIFORMLY CONVEX REAL BANACH SPACE

被引：0
作者：
Milicic, Pavle M. [1 ]
机构：
[1] Univ Belgrade, Fac Math, Belgrade 11000, Serbia
来源：
FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS | 2005年 / 20卷
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D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let X be a smooth and uniformly convex real Banach space and g functional defined as (2). The best approximation, ax, the vector y with vectors from [x] = span{x} (P([x])y = ax) is characterized with the equation g(y - ax, x) = 0. In certain Banach space, this equation, is possibly resolve for a. The above idea applied for P-my, where M is a n-dimensional subspace of X.
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页码：57 / 64
页数：8
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