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Bounds for the Zeros of a Polynomial with Restricted Coefficients

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DOI: 10.4236/am.2012.31005    4,019 Downloads   7,305 Views   Citations

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 =αnZn+...+α1Z+α0satisfying the restriction αn≥αn-1≥...≥α1≥α0≥0 lie in the closed unit disk.

Conflicts of Interest

The authors declare no conflicts of interest.

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.

References

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