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.

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

Cite this paper

A. Aziz and B. Zargar, "Bounds for the Zeros of a Polynomial with Restricted Coefficients,"*Applied Mathematics*, Vol. 3 No. 1, 2012, pp. 30-33. doi: 10.4236/am.2012.31005.

A. Aziz and B. Zargar, "Bounds for the Zeros of a Polynomial with Restricted Coefficients,"

References

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