Some inequalities for maximum modules of polynomials
N. K. Govil1
Received29 Mar 1990
Revised20 Aug 1990
Abstract
A well-known result of Ankeney and Rivlin states that if p(z) is a polynomial of degree
n, such that p(z)≠0 in |z|<1, then max|z|=R≥1|p(z)|≤(Rn+12)max|z|=1|p(z)|. In this paper we prove
some generalizations and refinements of this result.