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Abstract
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International Journal of Mathematics and Mathematical Sciences
Volume 14 (1991), Issue 2, Pages 233-238
doi:10.1155/S016117129100025X

Some inequalities for maximum modules of polynomials

N.K. Govil

Department of Algebra, Combinatorics \& Analysis, Division of Mathematics, Auburn University, Auburn, AL, USA

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.