AdaptivewidthsoftheapproximationfunctionalontheSobolevspaceW2rwithGaussianmeasure

被引：1

作者：

FANG Gensun and YE PeixinDepartment of Mathematics Beijing Normal University Beijing China ^{[100875
]}

机构：

来源：

ProgressinNaturalScience | 2002年 / 07期

关键词：

Kolmogorov (n; eeeeeee; 777777777)-widths; non-adaptive and adaptive; Gaussian measure;

D O I：

暂无

中图分类号：

O241 [数值分析];

学科分类号：

070102 ;

摘要：

<正> The tight orders for the Kolmogorov and adaptive ( n, ε, δ) -widths of the Sobolev spaces W2rrrrr equipped with a Gaussian measure in the Li-norm and Loo-norm are determined by the method of discretization, which is based on reducing the calculation of the ( n, ε, δ)-widths of the Sobolev space to the calculation of ( n, ε, δ)-widths of finite-dimensional set equipped with the Gaussian measure.

引用

页码：28 / 33

页数：6