One-sided integral approximation of the characteristic function of an interval by algebraic polynomials

被引：0
作者：
A. Yu. Torgashova
机构：
[1] Ural Federal University,
来源：
Proceedings of the Steklov Institute of Mathematics | 2017年 / 296卷
关键词：
algebraic polynomials; one-sided approximation; characteristic function of an interval;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We give a solution to the problem of one-sided approximation in L(−1, 1) to the characteristic function of the interval (−√3/5, 2/5) by fifth-degree algebraic polynomials. The corresponding quadrature formula with positive weights is constructed.
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页码：228 / 235
页数：7
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