IJPAM: Volume 89, No. 4 (2013)

SOME EXTENSION AND GENERALIZATION OF
THE BOUNDS FOR THE ZEROS OF A POLYNOMIAL
WITH RESTRICTED COEFFICIENTS

Mohammad Al-Hawari$^1$, Farah M. AL-Askar$^2$
$^1$College of Applie Medical Sciences
Majmaah University
P.O. Box 1405, Almajmaah, 11952, KINGDOM OF SAUDI ARABIA
$^2$College of Education Department of mathematics
Majmaah University
P.O. Box 1405, Almajmaah, 11952, KINGDOM OF SAUDI ARABIA


Abstract. Let $P(z)$ be a polynomial of degree n with decreasing coefficients. Then all its zeros lie in $\left\vert z\right\vert \leq 1$. In this paper we present some generalizations of this result and a refinement of a classical bounds.

Received: August 26, 2013

AMS Subject Classification: 0C10, 30C15

Key Words and Phrases: polynomial, bounds, zeros, Enestrom-Kakeya theorem

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DOI: 10.12732/ijpam.v89i4.10 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2013
Volume: 89
Issue: 4