DIFFERENTIABILITY AND BEST LOCAL APPROXIMATION

被引：0

作者：

Cuenya, Hector H. ^{[1
]}

Rodriguez, Claudia N. ^{[1
]}

机构：

[1] Univ Nacl Rio Cuarto, Dept Matemat, RA-5800 Rio Cuarto, Argentina

来源：

REVISTA DE LA UNION MATEMATICA ARGENTINA | 2013年 / 54卷 / 01期

关键词：

Best approximation; L-p-norm; local approximant;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we give sufficient conditions over the differentiability of a function to assure existence of the best local approximant in L-p-spaces, 0 < p <= infinity. These conditions are weaker than those given in previous papers. For p = 2 we show that, in a certain way, they are also necessary. In addition, we characterize the best local approximant.

引用

页码：15 / 25

页数：11

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