|
This article is cited in 6 scientific papers (total in 6 papers)
Inequalities concerning $B$-operators
S. L. Walia, W. M. Shahb, A. Limana a 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.
Received: 11.07.2016 Revised: 10.10.2016 Accepted: 10.10.2016
Citation:
S. L. Wali, W. M. Shah, A. Liman, “Inequalities concerning $B$-operators”, Probl. Anal. Issues Anal., 5(23):1 (2016), 55–72
Linking options:
https://www.mathnet.ru/eng/pa208 https://www.mathnet.ru/eng/pa/v23/i1/p55
|
Statistics & downloads: |
Abstract page: | 128 | Full-text PDF : | 75 | References: | 27 |
|