J Austral Math Soc Ser A 59 pp330--342, 1995.

Bounds for the Separation of Real Zeros of Polynomials

Peter Walker

(Received 29 October 1992)

Abstract

We measure the separation of the zeros of the polynomial f(x) = Ő₁ⁿ(x - a), a₁ < a₂ < ... < a_n by d(f) = min_i(a_{i + 1} - a_i). We establish a bound for the amount by which the ratio d(f˘- kf)/d(f) exceeds 1.

1991 AMS Subject Classification: 26C10

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Authors

Peter Walker: College of Science, P.O. 36, Sultan Qaboos University, Al-Khod, 123, Muscat, Sultanate of Oman

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Last Modified: Thu Jan 9 9:04:23 2003