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

共 50 条

[21] Special Chebyshev and Zolotarev perfect splines on an interval
Mikhalin, D. A.
RUSSIAN MATHEMATICAL SURVEYS, 2009, 64 (02) : 396 - 398
[22] Fundamental groups of spaces of generalized perfect splines
Koshcheev, V. A.
TRUDY INSTITUTA MATEMATIKI I MEKHANIKI URO RAN, 2009, 15 (01): : 159 - 165
[23] OPTIMAL QUADRATURE-FORMULAS AND PERFECT SPLINES
STRAUSS, H
JOURNAL OF APPROXIMATION THEORY, 1979, 27 (03) : 203 - 226
[24] SOME EXTREMAL PROBLEMS ON A CLASS OF PERFECT SPLINES
孙永生
ScienceinChina,SerA., 1984, Ser.A.1984 (03) : 253 - 266
[25] OSCILLATORY AND ZERO PROPERTIES FOR PERFECT SPLINES AND MONOSPLINES
CAVARETTA, AS
JOURNAL D ANALYSE MATHEMATIQUE, 1975, 28 : 41 - 59
[26] SOME EXTREMAL PROBLEMS ON A CLASS OF PERFECT SPLINES
SUN, YS
SCIENTIA SINICA SERIES A-MATHEMATICAL PHYSICAL ASTRONOMICAL & TECHNICAL SCIENCES, 1984, 27 (03): : 253 - 266
[27] Fundamental groups of spaces of generalized perfect splines
V. A. Koshcheev
Proceedings of the Steklov Institute of Mathematics, 2009, 266 : 155 - 161
[28] PERIODIC MONOSPLINES AND PERFECT SPLINES OF LEAST NORM
BOJANOV, BD
HUANG, D
CONSTRUCTIVE APPROXIMATION, 1987, 3 (04) : 363 - 375
[29] SOME EXTREMAL PROBLEMS ON A CLASS OF PERFECT SPLINES
孙永生
Science China Mathematics, 1984, (03) : 253 - 266
[30] PERFECT SPLINES AND HERMITE-BIRKHOFF INTERPOLATION
GOODMAN, TNT
JOURNAL OF APPROXIMATION THEORY, 1979, 26 (02) : 108 - 118

← 1 2 3 4 5 →