ON THE NUMBER OF CRITICAL POINTS OF A POLYNOMIAL IN A DISC

被引：0
|
作者：
Bakic, Rados [1 ]
机构：
[1] Univ Belgrade, Teacher Training Fac, 43 Kraljice Natalije, Belgrade 11000, Serbia
来源：
COMPTES RENDUS DE L ACADEMIE BULGARE DES SCIENCES | 2016年 / 69卷 / 10期
关键词：
zeros of a polynomial; zeros of derivative; location of zeros;
D O I：
暂无
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
Let p(z) be n-th degree polynomial and let z(1), ..., z(n-1) be its zeroes. We prove that at least [n-1/2] of its critical points lie in any circle C that is centred at the arithmetic mean of these zeroes and contains them.
引用
收藏
页码：1249 / 1250
页数：2
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