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

IF 0.8 3区数学 Q2 MATHEMATICS

Izvestiya Mathematics Pub Date : 2021-01-01 DOI:10.1070/IM8969

A. Vasil'eva

引用次数: 0

Abstract

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.

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具有零阶导数和一阶导数条件的区间上加权Sobolev类交点的Kolmogorov宽度

在一阶导数和零阶导数条件下，我们得到了加权Sobolev类的交点Kolmogorov宽度的阶估计;权重是幂律形式。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Izvestiya Mathematics 数学-数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： The Russian original is rigorously refereed in Russia and the translations are carefully scrutinised and edited by the London Mathematical Society. This publication covers all fields of mathematics, but special attention is given to: Algebra; Mathematical logic; Number theory; Mathematical analysis; Geometry; Topology; Differential equations.