Derivatives of Faber polynomials and Markov inequalities

被引：3

作者：

Pritsker, IE ^{[1
]}

机构：

[1] Oklahoma State Univ, Dept Math, Stillwater, OK 74078 USA

来源：

JOURNAL OF APPROXIMATION THEORY | 2002年 / 118卷 / 02期

基金：

美国国家科学基金会;

关键词：

Asymptotics; Derivatives; Faber polynomials; Markov inequalities;

D O I：

10.1006/jath.2002.3713

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study asymptotic behavior of the derivatives of Faber polynomials on a set with corners at the boundary. Our results have applications to the questions of sharpness of Markov inequalities for such sets. In particular, the found asymptotics are related to a general Markov-type inequality of Pommerenke and the associated conjecture of Erdos. We also prove a new bound for Faber polynomials on piecewise smooth domains. (C) 2002 Elsevier Science (USA).

引用

页码：163 / 174

页数：12

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