Open AccessLp-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 sankt-peterburgskogo universiteta. matematika. mehanika. astronomiâ/vestnik sankt-peterburgskogo universiteta. seriâ 1, matematika, mehanika, astronomiâ
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) , class (philosophy) , pure mathematics , discrete mathematics , combinatorics , alternating polynomial , matrix polynomial , mathematical analysis , physics , computer science , ecology , astronomy , political science , financial economics , law , economics , biology , artificial intelligence
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.