Markov interlacing property for perfect splines

被引：5

作者：

Bojanov, B ^{[1
]}

机构：

[1] Univ Sofia, Dept Math, Sofia 1164, Bulgaria

来源：

JOURNAL OF APPROXIMATION THEORY | 1999年 / 100卷 / 01期

关键词：

interlacing property; perfect splines; VA Markov; Tchebycheff systems;

D O I：

10.1006/jath.1999.3321

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that if the zeros of two perfect splines p and q interlace, then the zeros of p' and q' also interlace. This is an extension of the classical result concerning algebraic polynomials proved by V. A. Markov. (C) 1999 Academic Press.

引用

页码：183 / 201

页数：19

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