Kolmogorov widths of weighted Sobolev classes on closed intervals

被引：0
作者：
A. A. Vasil’eva
机构：
[1] Moscow State University,
来源：
Mathematical Notes | 2008年 / 84卷
关键词：
Kolmogorov width; weighted Sobolev class; measurable function; the space L; Maiorov discretization; Riemann-Liouville operator;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we estimate the asymptotics of the Kolmogorov widths of weighted Sobolev classes in the metric of Lp. We establish the relationship between the width of the set W∞,g1 and the approximation of the antiderivative function g by piecewise constant functions.
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页码：631 / 635
页数：4
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