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Upper bounds for the separation of real zeros of polynomials
Published online by Cambridge University Press: 20 January 2009
Abstract
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 (D – kl)−1 to preserve the reality of the zeros of a polynomial.
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- Copyright © Edinburgh Mathematical Society 1996
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