On best approximation by ridge functions

被引：83

作者：

Maiorov, VE ^{[1
]}

机构：

[1] Technion Israel Inst Technol, Dept Math, IL-32000 Haifa, Israel

来源：

JOURNAL OF APPROXIMATION THEORY | 1999年 / 99卷 / 01期

关键词：

D O I：

10.1006/jath.1998.3304

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider best approximation of some function classes by the manifold M-n consisting of sums of n arbitrary ridge functions. It is proved that that deviation of the Sobolev class W-2(r, d) from the manifold M-n in the space L-2 behaves asymptotically as n(-r/(d-1)). (C) 1999 Academic Press.

引用

页码：68 / 94

页数：27

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