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
收藏
页码：163 / 174
页数：12
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