Kolmogorov and linear widths of the weighted Besov classes with singularity at the origin

被引：20

作者：

Vasil'eva, A. A. ^{[1
]}

机构：

[1] Moscow MV Lomonosov State Univ, MSU, Fac Mech & Math, Moscow 119991, Russia

来源：

JOURNAL OF APPROXIMATION THEORY | 2013年 / 167卷

关键词：

Weighted Besov spaces; Kolmogorov widths; Linear widths; Approximation numbers; Mixed norms; ENTROPY NUMBERS; FUNCTION-SPACES; APPROXIMATION NUMBERS; MUCKENHOUPT WEIGHTS; SOBOLEV EMBEDDINGS; DECOMPOSITIONS; OPERATORS;

D O I：

10.1016/j.jat.2012.11.006

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we obtain asymptotic estimates of Kolmogorov and linear widths of the weighted Besov classes with singularity at the origin. In addition, estimates of Kolmogorov and linear widths of finite-dimensional balls in a mixed norm are obtained. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：1 / 41

页数：41

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