In this paper we consider a polynomial P(z) having no zeros in the disk | z |<1. We investigate the dependence of | ( )| | |= >1 max P z z R on | ( )| | |=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].
In this paper we consider a polynomial P(z) having no zeros in the disk | z |<1. We investigate the dependence of | ( )| | |= >1 max P z z R on | ( )| | |=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 ineq...
مادة فرعية