Title of article :
Inequalities Concerning the Growth of Polynomials
Author/Authors :
zargar, bashir a. university of kashmir - department of mathematics, Srinagar, India , manzoor, ahmad w. university of kashmir - department of mathematics, Srinagar, India
Abstract :
In this paper we consider a polynomial P(z) having no zeros in the disk | z | 1. We investigate the dependence of max_ | Z| = R 1 | P(Z)| on max | z|=1 max P z z and obtain a refinement of a famous result due to Rivilin ([5], [7]). Our results not only generalize some polynomial inequalities but also refine a result by Aziz [1].
Keywords :
Growth of polynomials , Maximum modulus , Inequalities
Journal title :
Sultan Qaboos University Journal for Science
Journal title :
Sultan Qaboos University Journal for Science
