A refinement of the gauss-lucas theorem
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Data
1998-12-01
Autores
Dimitrov, Dimitar K. [UNESP]
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Resumo
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 H of the zeros of p. It is proved that, actually, a subdomain of H contains the critical points of p. ©1998 American Mathematical Society.
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Nontrivial critical point of a polynomial
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Proceedings of the American Mathematical Society, v. 126, n. 7, p. 2065-2070, 1998.