This article is cited in 1 paper

An integral estimate for an operator preserving inequalities between polynomials

S. L. Wali

Central University of Kashmir, Ganderbal - 191201, Jammu and Kashmir, India

Abstract: Let $\mathcal{P}_{n}$ be the class of polynomials of degree at most $n$. Rahman introduced a class $\mathcal {B}_{n}$ of operators $B$ that map $\mathcal {P}_{n}$ into itself. In this paper we prove some results concerning the integral estimates of such operators and, thereby, obtain generalizations, as well as improvements, of some well known $L_p$ inequalities.

Keywords: polynomials, $B$-operator, inequalities in the complex domain, zeros.

UDC: 517.53

MSC: 30A06, 30A64,30E10

Received: 22.03.2020
Revised: 15.09.2020
Accepted: 14.10.2020

Language: English

DOI: 10.15393/j3.art.2020.8250

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