Utilize este identificador para citar ou criar um link para este item:
http://acervodigital.unesp.br/handle/11449/21779
Registro de metadados completo
Campo DC | Valor | Idioma |
---|---|---|
dc.contributor.author | Dimitrov, Dimitar Kolev | - |
dc.contributor.author | Kostov, Vladimir P. | - |
dc.date.accessioned | 2014-05-20T14:01:42Z | - |
dc.date.accessioned | 2016-10-25T17:08:43Z | - |
dc.date.available | 2014-05-20T14:01:42Z | - |
dc.date.available | 2016-10-25T17:08:43Z | - |
dc.date.issued | 2010-03-01 | - |
dc.identifier | http://dx.doi.org/10.1016/j.bulsci.2007.11.006 | - |
dc.identifier.citation | Bulletin Des Sciences Mathematiques. Paris: Gauthier-villars/editions Elsevier, v. 134, n. 2, p. 196-206, 2010. | - |
dc.identifier.issn | 0007-4497 | - |
dc.identifier.uri | http://hdl.handle.net/11449/21779 | - |
dc.identifier.uri | http://acervodigital.unesp.br/handle/11449/21779 | - |
dc.description.abstract | Let 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.sponsorship | Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) | - |
dc.description.sponsorship | Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) | - |
dc.description.sponsorship | Centre national de la recherche scientifique (CNRS) | - |
dc.format.extent | 196-206 | - |
dc.language.iso | eng | - |
dc.publisher | Gauthier-villars/editions Elsevier | - |
dc.source | Web of Science | - |
dc.subject | Hyperbolic polynomial | en |
dc.subject | Strictly hyperbolic polynomial | en |
dc.subject | Zero | en |
dc.subject | Midpoint | en |
dc.subject | Critical point | en |
dc.subject | Entire function | en |
dc.subject | Laguerre-Polya class | en |
dc.title | Distances between critical points and midpoints of zeros of hyperbolic polynomials | en |
dc.type | outro | - |
dc.contributor.institution | Universidade Estadual Paulista (UNESP) | - |
dc.contributor.institution | Univ Nice | - |
dc.description.affiliation | Univ Estadual Paulista, IBILCE, Dept Ciencias Computacao & Estatist, BR-15054000 Sao Jose do Rio Preto, SP, Brazil | - |
dc.description.affiliation | Univ Nice, Math Lab, F-06108 Nice 2, France | - |
dc.description.affiliationUnesp | Univ Estadual Paulista, IBILCE, Dept Ciencias Computacao & Estatist, BR-15054000 Sao Jose do Rio Preto, SP, Brazil | - |
dc.description.sponsorshipId | FAPESP: 03/01874-2 | - |
dc.description.sponsorshipId | CNPq: 304830/2006-2 | - |
dc.description.sponsorshipId | French Foundation CNRS: 20682 | - |
dc.identifier.doi | 10.1016/j.bulsci.2007.11.006 | - |
dc.identifier.wos | WOS:000275580900005 | - |
dc.rights.accessRights | Acesso restrito | - |
dc.relation.ispartof | Bulletin des Sciences Mathematiques | - |
Aparece nas coleções: | Artigos, TCCs, Teses e Dissertações da Unesp |
Não há nenhum arquivo associado com este item.
Itens do Acervo digital da UNESP são protegidos por direitos autorais reservados a menos que seja expresso o contrário.