New Integral Norm Estimates of Bernstein-Type Inequalities for a Certain Class of Polynomials

被引：0
|
作者：
Abdullah Mir
机构：
[1] University of Kashmir,Department of Mathematics
来源：
Indian Journal of Pure and Applied Mathematics | 2020年 / 51卷
关键词：
Polar derivative; Bernstein-inequality; -inequalities; 30A10; 30C10; 30D15;
D O I：
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中图分类号：
学科分类号：
摘要：
In this paper, we establish some results on algebraic polynomials in the complex plane that are inspired by some classical Bernstein-type inequalities that relate the sup-norm of a polynomial to that of its derivative on the unit circle. The obtained results relate the Lγ-norm of the polar derivative and the polynomial.
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页码：1357 / 1371
页数：14
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