Extremal polynomials on arcs of the circle with zeros on these arcs

被引：5

作者：

Lukashov, A. L. ^{[1
,2
]}

Tyshkevich, S. V. ^{[1
]}

机构：

[1] Saratov NG Chernyshevskii State Univ, Saratov, Russia

[2] Fatih Univ Turkey, Istanbul, Turkey

来源：

JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES | 2009年 / 44卷 / 03期

关键词：

Least deviation from zero; several arcs;

D O I：

10.3103/S1068362309030030

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The paper gives a solution of an extremal problem of finding monic polynomial least deviating from zero on several arcs of the unit circle, under some restrictions on the location of zeros and additional conditions on mutual position of the arcs. The extremal polynomial is represented in the terms of density of harmonic measure.

引用

页码：172 / 179

页数：8

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