External estimation of a segment function by a polynomial strip

被引：0
|
作者：
I. Yu. Vygodchikova
S. I. Dudov
E. V. Sorin
机构：
[1] Saratov State University,
来源：
Computational Mathematics and Mathematical Physics | 2009年 / 49卷
关键词：
estimation of a segment function; polynomial strip; subdifferential; alternance; snake problem;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The problem is considered of constructing a least-width strip with a polynomial axis that contains the graph of a given continuous segment function. Convex analysis methods are used to obtain a criterion for solving the problem in a form comparable to the Chebyshev alternance. Sufficient conditions for the uniqueness of a solution are given, including those taking into account the differential properties of the segment function to be estimated.
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页码：1119 / 1127
页数：8
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