Widths of classes of finitely smooth functions in Sobolev spaces

被引：2

作者：

Kudryavtsev, SN ^{[1
]}

机构：

[1] Russian Acad Sci, Ctr Comp, Moscow, Russia

来源：

MATHEMATICAL NOTES | 2005年 / 77卷 / 3-4期

关键词：

function approximation; width of a class of functions; weak asymptotics; finitely smooth function; modulus of continuity;

D O I：

10.1007/s11006-005-0048-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We describe the weak asymptotics of the behavior of the Kolmogorov, Gelfand, linear, Aleksandrov, and entropy widths of the unit ball of the space (WpHw)-H-l(I-d) in the space W-q(m)(I-d).

引用

页码：494 / 498

页数：5

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