GENERALIZATIONS OF SOME ZYGMUND-TYPE INTEGRAL INEQUALITIES FOR POLAR DERIVATIVES OF A COMPLEX POLYNOMIAL

被引：0
|
作者：
Mir, Abdullah [1 ]
机构：
[1] Univ Kashmir, Dept Math, Srinagar, India
来源：
PUBLICATIONS DE L INSTITUT MATHEMATIQUE-BEOGRAD | 2021年 / 110卷 / 124期
关键词：
complex polynomial; polar derivative; Zygmund-inequality;
D O I：
10.2298/PIM2124057M
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove some results for algebraic polynomials in the complex plane that relate the L-gamma-norm of the polar derivative of a complex polynomial and the polynomial under some conditions. The obtained results include several interesting generalizations of some Zygmund-type integral inequalities for polynomials and derive polar derivative analogues of some classical Bernstein-type inequalities for the sup-norms on the unit disk as well.
引用
收藏
页码：57 / 69
页数：13
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