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

关键词：

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.

引用

页码：57 / 64

页数：8

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