GENERALIZATIONS OF SOME BERNSTEIN-TYPE INEQUALITIES FOR THE POLAR DERIVATIVE OF A POLYNOMIAL

被引：0

作者：

Mir, Abdullah ^{[1
]}

Hussain, Adil ^{[1
]}

机构：

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

来源：

KRAGUJEVAC JOURNAL OF MATHEMATICS | 2024年 / 49卷 / 01期

关键词：

Polar derivative; Bernstein inequality; zeros;

D O I：

10.46793/KgJMat2501.031M

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we establish some new Bernstein-type bounds for the polar derivative of constrained polynomials on the unit circle in the plane. The obtained results sharpen some known estimates for the ordinary derivative of polynomials as special cases.

引用

页码：31 / 41

页数：11

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