Kolmogorov widths of intersections of weighted Sobolev classes on an interval with conditions on the zeroth and first derivatives

被引：0

作者：

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

机构：

[1] Moscow MV Lomonosov State Univ, Moscow Ctr Fundamental & Appl Math, Moscow, Russia

来源：

IZVESTIYA MATHEMATICS | 2021年 / 85卷 / 01期

基金：

俄罗斯基础研究基金会;

关键词：

widths; intersections of function classes; weighted Sobolev classes; FINITE-DIMENSIONAL SETS; APPROXIMATION NUMBERS; OPERATORS;

D O I：

10.1070/IM8969

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the paper, we obtain order estimates for the Kolmogorov widths of the intersection of weighted Sobolev classes with conditions on the first and zeroth derivatives; the weights have power-law form.

引用

页码：1 / 23

页数：23