Lp-inequalities for the polar derivative of a lacunary-type polynomial | Zendy

N. A. Rather | Zendy; Liyaqat Ali | Zendy; Suhail Gulzar | Zendy

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Lp-inequalities for the polar derivative of a lacunary-type polynomial

Author(s) -

N. A. Rather,

Liyaqat Ali,

Suhail Gulzar

Publication year - 2021

Publication title -

vestnik of saint petersburg university mathematics mechanics astronomy

Language(s) - English

Resource type - Journals

eISSN - 2587-5884

pISSN - 1025-3106

DOI - 10.21638/spbu01.2021.311

Subject(s) - lacunary function , mathematics , polar , polynomial , derivative (finance) , norm (philosophy) , stable polynomial , inequality , type (biology) , reciprocal polynomial , pure mathematics , discrete mathematics , alternating polynomial , combinatorics , matrix polynomial , mathematical analysis , physics , ecology , astronomy , political science , financial economics , law , economics , biology

In this paper, we extend an inequality concerning the polar derivative of a polynomial in Lp-norm to the class of lacunary polynomials and thereby obtain a bound that depends on some of the coefficients of the polynomial as well.

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