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.
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页码：183 / 201
页数：19
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