Generalizations of Bernstein-Type Inequalities for Polynomials Involving the Polar Derivative

We establish some -inequalities for the polar derivative of a polynomial. Our results generalize some known Bernstein-type polynomial inequalities and include as special cases several interesting generalizations of some Zygmund-type inequalities for polynomials as well.

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Veröffentlicht in:	Siberian mathematical journal 2022-05, Vol.63 (3), p.575-582
1. Verfasser:	Hussain, I.
Format:	Artikel
Sprache:	eng
Schlagworte:	Inequalities Mathematics Mathematics and Statistics Polynomials
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description	We establish some -inequalities for the polar derivative of a polynomial. Our results generalize some known Bernstein-type polynomial inequalities and include as special cases several interesting generalizations of some Zygmund-type inequalities for polynomials as well.
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subjects	Inequalities Mathematics Mathematics and Statistics Polynomials
title	Generalizations of Bernstein-Type Inequalities for Polynomials Involving the Polar Derivative
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