This article is cited in 7 papers

Inequalities concerning $B$-operators

S. L. Wali^a, W. M. Shah^b, A. Liman<sup>a

a</sup> National Institute of Technology, Srinagar, 190006 Kashmir, India
^b Jammu and Kashmir Institute of Mathematical Sciences, Srinagar, 190008 Kashmir, India

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

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

UDC: 517.53

MSC: 30A06, 30A64, 30E10

Received: 11.07.2016
Revised: 10.10.2016
Accepted: 10.10.2016

Language: English

DOI: 10.15393/j3.art.2016.3250

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