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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
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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[5]Walker, P. L., ‘Upper bounds for separation of real zeros of polynomials’, Proc. Edinburgh Math. Soc., to appear.Google Scholar
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