N. A. Rather, L. Ali, S. Gulzar, “Lp-inequalities for the polar derivative of a lacunary-type polynomial”, Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2021, Volume 8, Issue 3,Pages <nobr>502

MATHEMATICS

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

N. A. Rather^a, L. Ali^a, S. Gulzar^b

^a Department of Mathematics, University of Kashmir, Srinagar, 190006, India
^b Department of Mathematics, Government College for Engineering & Technology, Safapora, Ganderbal, Kashmir, 193504, India

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

Keywords: $L_p$-inequalities, polar derivative, polynomials.

UDC: 517.5

MSC: 30C10, 26D10, 41A17

Received: 30.08.2020
Revised: 24.11.2020
Accepted: 19.03.2020

DOI: 10.21638/spbu01.2021.311