A Refinement of the Gauss-lucas Theorem

Abstract

The classical Gauss-Lucas Theorem states that all the critical points (zeros of the derivative) of a nonconstant polynomial p lie in the convex hull Ξ of the zeros of p. It is proved that, actually, a subdomain of Ξ contains the critical points of p.

Cite this paper

@inproceedings{Dimitrov1998ARO, title={A Refinement of the Gauss-lucas Theorem}, author={Dimitar K. Dimitrov}, year={1998} }