Original scientific paper

Growth of maximum modulus of polynomials with prescribed zeros

Abdul Aziz
B. A. Zargar

Abstract

Let P(z) be a polynomial of degree n not vanishing in |z| < k where k 1. It is given an upper bound for max|z|=R>1 |P(z)| in terms of R,n,k, max|z|=1 |P(z)| and min|z|=k |P(z)|. Among other things our result includes a refinement of a theorem due to Ankeny and Rivilin as a special case. We shall also prove an another result of similar nature.

Keywords

Growth of Maximum Modulus; inequalities for polynomials

Hrčak ID:

4812

URI

https://hrcak.srce.hr/4812

Publication date:

1.6.2002.

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