Bounds for the Zeros of a Polynomial with Restricted Coefficients

Abstract

In this paper we shall obtain some interesting extensions and generalizations of a well-known theorem due to Enestrom and Kakeya according to which all the zeros of a polynomial P(Z =α n Z n +...+α 1 Z+α 0 satisfying the restriction α n ≥α n-1 ≥...≥α 1 ≥α 0 ≥0 lie in the closed unit disk.