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

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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Beschreibung
Zusammenfassung: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.
ISSN:0037-4466
1573-9260
DOI:10.1134/S0037446622030168