Some inequalities for maximum modules of polynomials

N. K. Govil

International Journal of Mathematics and Mathematical Sciences, 1991, vol. 14, 1-6

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 ) | ≤ ( R n + 1 2 ) max | z | = 1 | p ( z ) | . In this paper we prove some generalizations and refinements of this result.

Date: 1991
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:609296

DOI: 10.1155/S016117129100025X

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