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Upper bounds for the separation of real zeros of polynomials

Published online by Cambridge University Press:  20 January 2009

Peter Walker
Affiliation:
College of Science P.O. Box 36 Sultan Qaboos University Al-Khod, 123 Muscat Sultanate of Oman e-mail address: [email protected]
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Abstract

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Let be a polynomial with distinct real zeros whose separation is defined by δ(f) = min i≠j(ai-aj ). We establish upper estimates for δ(f′-kf) in terms of n, k, and δ(f). The results give sufficient conditions for the inverse operator (Dkl)−1 to preserve the reality of the zeros of a polynomial.

Type
Research Article
Copyright
Copyright © Edinburgh Mathematical Society 1996

References

REFERENCES

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