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dc.contributor.authorDimitrov, Dimitar Kolev-
dc.contributor.authorKostov, Vladimir P.-
dc.date.accessioned2014-05-20T14:01:42Z-
dc.date.accessioned2016-10-25T17:08:43Z-
dc.date.available2014-05-20T14:01:42Z-
dc.date.available2016-10-25T17:08:43Z-
dc.date.issued2010-03-01-
dc.identifierhttp://dx.doi.org/10.1016/j.bulsci.2007.11.006-
dc.identifier.citationBulletin Des Sciences Mathematiques. Paris: Gauthier-villars/editions Elsevier, v. 134, n. 2, p. 196-206, 2010.-
dc.identifier.issn0007-4497-
dc.identifier.urihttp://hdl.handle.net/11449/21779-
dc.identifier.urihttp://acervodigital.unesp.br/handle/11449/21779-
dc.description.abstractLet p(x) be a polynomial of degree n with only real zeros x(1) <= x(2) <= ... <= x(n). Consider their midpoints z(k) = (x(k) + x(k+1))/2 and the zeros xi(1) <= xi(2) <= ... <= xi(n-1) of p'(z). Motivated by a question posed by D. Farmer and R. Rhoades, we compare the smallest and largest distances between consecutive xi(k) to the ones between consecutive z(k). The corresponding problem for zeros and critical points of entire functions of order one from the Laguerre-Polya class is also discussed. (C) 2007 Published by Elsevier Masson SAS.en
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)-
dc.description.sponsorshipConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)-
dc.description.sponsorshipCentre national de la recherche scientifique (CNRS)-
dc.format.extent196-206-
dc.language.isoeng-
dc.publisherGauthier-villars/editions Elsevier-
dc.sourceWeb of Science-
dc.subjectHyperbolic polynomialen
dc.subjectStrictly hyperbolic polynomialen
dc.subjectZeroen
dc.subjectMidpointen
dc.subjectCritical pointen
dc.subjectEntire functionen
dc.subjectLaguerre-Polya classen
dc.titleDistances between critical points and midpoints of zeros of hyperbolic polynomialsen
dc.typeoutro-
dc.contributor.institutionUniversidade Estadual Paulista (UNESP)-
dc.contributor.institutionUniv Nice-
dc.description.affiliationUniv Estadual Paulista, IBILCE, Dept Ciencias Computacao & Estatist, BR-15054000 Sao Jose do Rio Preto, SP, Brazil-
dc.description.affiliationUniv Nice, Math Lab, F-06108 Nice 2, France-
dc.description.affiliationUnespUniv Estadual Paulista, IBILCE, Dept Ciencias Computacao & Estatist, BR-15054000 Sao Jose do Rio Preto, SP, Brazil-
dc.description.sponsorshipIdFAPESP: 03/01874-2-
dc.description.sponsorshipIdCNPq: 304830/2006-2-
dc.description.sponsorshipIdFrench Foundation CNRS: 20682-
dc.identifier.doi10.1016/j.bulsci.2007.11.006-
dc.identifier.wosWOS:000275580900005-
dc.rights.accessRightsAcesso restrito-
dc.relation.ispartofBulletin des Sciences Mathematiques-
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