Abstract

In our precedence paper (Diouf, Diakhate, \& Watt, 2013), we show the continuity of the zeros of a univariate polynomial which respect to the coefficients. Here we study the sizes of a polynomial and their bounds. The main originality of this paper is maybe a definition of the measure of a polynomial without any reference to the roots, this leads to a very elementary proof of bounds for the factors of polynomials, a subject which is also revisited here. Most of our proofs are extremely simple and all are quite elementary.

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