Markov-type inequalities for polynomials with restricted zeros

被引：2

作者：

Halász, G ^{[1
]}

机构：

[1] Eotvos Lorand Univ, Dept Anal, Budapest, Hungary

[2] Hungarian Acad Sci, Inst Math, Budapest, Hungary

来源：

JOURNAL OF APPROXIMATION THEORY | 1999年 / 101卷 / 01期

关键词：

polynomials; Markov inequalities; harmonic and subharmonic functions;

D O I：

10.1006/jath.1999.3363

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Upper bounds of the exact order of magnitude in n are given for max(-1 less than or equal to x less than or equal to 1)\p'(x)\/max(-1 less than or equal to x less than or equal to 1)\p(x)\ for polynomials p of degree n, free of zeros in certain regions containing the interval (-1, 1). (C) 1999 Academic Press.

引用

页码：148 / 155

页数：8

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