Applied Mathematics

Volume 3, Issue 1 (January 2012)

ISSN Print: 2152-7385   ISSN Online: 2152-7393

Google-based Impact Factor: 0.58  Citations  

Bounds for the Zeros of a Polynomial with Restricted Coefficients

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DOI: 10.4236/am.2012.31005    4,564 Downloads   8,301 Views  Citations

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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.

Share and Cite:

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.

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