Inequalities for the polar derivative of a polynomial

被引：2

作者：

Gulzar, M. H. ^{[1
]}

Zargar, B. A. ^{[1
]}

Akhter, Rubia ^{[1
]}

机构：

[1] Kashmir Univ, Dept Math, Srinagar 190006, India

来源：

JOURNAL OF ANALYSIS | 2020年 / 28卷 / 04期

关键词：

Polynomial; Polar derivative; Inequalities;

D O I：

10.1007/s41478-020-00222-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let P(z) be a polynomial of degree n having all its zeros in vertical bar z vertical bar <= 1, then according to Turan (Compositio Mathematica 7:89-95, 2004) max(vertical bar Z vertical bar=1) vertical bar P'(z)vertical bar >= n/2(max vertical bar Z vertical bar=1) vertical bar P(z)vertical bar. In this paper, we shall use polar derivative and establish a generalisation and an extension of this result. Our results also generalize variety of other results.

引用

页码：923 / 929

页数：7

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