An extremal problem for polynomials

被引：1
|
作者：
Schmidt, Kai-Uwe [1 ]
机构：
[1] Otto von Guericke Univ, Fac Math, D-39106 Magdeburg, Germany
来源：
COMPTES RENDUS MATHEMATIQUE | 2014年 / 352卷 / 02期
关键词：
POWER RATIO;
D O I：
10.1016/j.crma.2013.12.011
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give a solution to an extremal problem for polynomials, which asks for complex numbers alpha(0),..., alpha(n) of unit magnitude that minimise the largest supremum norm on the unit circle for all polynomials of degree n whose k-th coefficient is either alpha(k) or -alpha(k). (C) 2013 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.
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页码：95 / 97
页数：3
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