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A refinement of the Gauss-Lucas theorem |
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| Authors: | Dimitar K. Dimitrov |
| Affiliation: | Departamento de Ciências de Computação e Estatística, IBILCE, Universidade Estadual Paulista, 15054-000 São José do Rio Preto, SP, Brazil |
| Abstract: | The classical Gauss-Lucas Theorem states that all the critical points (zeros of the derivative) of a nonconstant polynomial  lie in the convex hull  of the zeros of  . It is proved that, actually, a subdomain of  contains the critical points of  . |
| Keywords: | Nontrivial critical point of a polynomial |
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