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Bounds for the separations of real zeros of polynomials

Part of: Polynomials, rational functions

Published online by Cambridge University Press:  09 April 2009

Peter Walker
Peter Walker
Affiliation:
College of Science, P.O. 36Sultan Qaboos UniversityAl-Khod, 123 Muscat, Sultanate of, Oman
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Abstract

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We measure the separation of the zeros of the polynomial f(x) = by δ(f) = mini(ai+1 − ai). We establish a bound for the amount by which the ratio δ(f′ − kf)/δ(f) exceeds 1.

MSC classification

Secondary: 26C10: Polynomials
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 59 , Issue 3 , December 1995 , pp. 330 - 342
Copyright
Copyright © Australian Mathematical Society 1995

References

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[4]Walker, P. L., ‘Separation of the zeros of polynomials’, Amer. Math. Monthly, 100 (1993), 272–273.Google Scholar
[5]Walker, P. L., ‘Upper bounds for separation of real zeros of polynomials’, Proc. Edinburgh Math. Soc., to appear.Google Scholar