Chebyshev Polynomials on a System of Continua

被引：11

作者：

Andrievskii, Vladimir V. ^{[1
]}

机构：

[1] Kent State Univ, Dept Math Sci, Kent, OH 44242 USA

来源：

CONSTRUCTIVE APPROXIMATION | 2016年 / 43卷 / 02期

关键词：

Chebyshev polynomial; Equilibrium measure; Quasismooth curve; FABER POLYNOMIALS;

D O I：

10.1007/s00365-015-9280-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The estimates of the uniform norm of the Chebyshev polynomial associated with a compact set consisting of a finite number of continua in the complex plane are established. These estimates are exact (up to a constant factor) in the case where the components of are either quasismooth (in the sense of Lavrentiev) arcs or closed Jordan domains bounded by a quasismooth curve.

引用

页码：217 / 229

页数：13

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