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OPEN ACCESS eISSN 0454-8124
pISSN 1225-6951
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Kyungpook Mathematical Journal 2017; 57(4): 537-543

Published online December 23, 2017

Copyright © Kyungpook Mathematical Journal.

Some Inequalities for Derivatives of Polynomials

Gulshan Singh1
Wali Mohammad Shah2

Govt. Department of Education, Jammu and Kashmir, India1
Jammu and Kashmir Institute of Mathematical Sciences Srinagar, 190009,  India2

Received: December 29, 2013; Accepted: July 14, 2014

Abstract

In this paper, we generalize some earlier well known results by considering polynomials of lacunary type having some zeros at origin and rest of the zeros on or outside the boundary of a prescribed disk.

Keywords: Polynomial, Zeros, Exterior of circle, Lacunary