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.
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页码：15 / 25
页数：11
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