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A unifying framework for generalizations of the Eneström–Kakeya theorem

A unifying framework for generalizations of the Eneström–Kakeya theorem

The classical Enestrom-Kakeya theorem establishes upper and lower bounds on the zeros of a polynomial with positive coefficients that are explicit functions of those coefficients. We establish a unifying framework that incorporates this theorem and several similar ones as special cases, while generating new theorems of a similar type. These …