One-sided weighted integral approximation of characteristic functions of intervals by polynomials on a closed interval

被引：0

作者：

A. G. Babenko

M. V. Deikalova

Sz. G. Revesz

机构：

[1] Ural Branch of the Russian Academy of Sciences,Krasovskii Institute of Mathematics and Mechanics

[2] Hungarian Academy of Sciences,Alfréd Rényi Institute of Mathematics

[3] Ural Federal University,undefined

来源：

Proceedings of the Steklov Institute of Mathematics | 2017年 / 297卷

关键词：

one-sided approximation; characteristic function; polynomials;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We consider the problem of one-sided weighted integral approximation on the interval [−1, 1] to the characteristic functions of intervals (a, 1] ⊂ (−1, 1] and (a, b) ⊂ (−1, 1) by algebraic polynomials. In the case of half-intervals, the problem is solved completely. We construct an example to illustrate the difficulties arising in the case of an open interval.

引用

页码：11 / 18

页数：7

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