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

页码：1249 / 1250

页数：2