Sharp Turán inequalities via very hyperbolic polynomials

Detalhes bibliográficos
Autor(a) principal: Dimitrov, Dimitar K. [UNESP]
Data de Publicação: 2011
Outros Autores: Kostov, Vladimir P.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1016/j.jmaa.2010.12.014
http://hdl.handle.net/11449/72383
Resumo: We present new sharp inequalities for the Maclaurin coefficients of an entire function from the Laguerre-Pólya class. They are obtained by a new technique involving the so-called very hyperbolic polynomials. The results may be considered as extensions of the classical Turán inequalities. © 2010 Elsevier Inc.
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spelling Sharp Turán inequalities via very hyperbolic polynomialsHyperbolic polynomialsLaguerre-Pólya classMaclaurin coefficientsTurán inequalitiesVery hyperbolic polynomialsWe present new sharp inequalities for the Maclaurin coefficients of an entire function from the Laguerre-Pólya class. They are obtained by a new technique involving the so-called very hyperbolic polynomials. The results may be considered as extensions of the classical Turán inequalities. © 2010 Elsevier Inc.Departamento de Ciências de Computação e Estatística IBILCE, Universidade Estadual Paulista, 15054-000 São José do, Rio Preto, SPUniversité de Nice Laboratoire de Mathématiques Parc Valrose, 06108 Nice Cedex 2Departamento de Ciências de Computação e Estatística IBILCE, Universidade Estadual Paulista, 15054-000 São José do, Rio Preto, SPUniversidade Estadual Paulista (Unesp)Parc ValroseDimitrov, Dimitar K. [UNESP]Kostov, Vladimir P.2014-05-27T11:25:51Z2014-05-27T11:25:51Z2011-04-15info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article385-392application/pdfhttp://dx.doi.org/10.1016/j.jmaa.2010.12.014Journal of Mathematical Analysis and Applications, v. 376, n. 2, p. 385-392, 2011.0022-247X1096-0813http://hdl.handle.net/11449/7238310.1016/j.jmaa.2010.12.0142-s2.0-786507006412-s2.0-78650700641.pdfScopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengJournal of Mathematical Analysis and Applications1.1381,103info:eu-repo/semantics/openAccess2023-11-27T06:17:36Zoai:repositorio.unesp.br:11449/72383Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T18:53:21.291788Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Sharp Turán inequalities via very hyperbolic polynomials
title Sharp Turán inequalities via very hyperbolic polynomials
spellingShingle Sharp Turán inequalities via very hyperbolic polynomials
Dimitrov, Dimitar K. [UNESP]
Hyperbolic polynomials
Laguerre-Pólya class
Maclaurin coefficients
Turán inequalities
Very hyperbolic polynomials
title_short Sharp Turán inequalities via very hyperbolic polynomials
title_full Sharp Turán inequalities via very hyperbolic polynomials
title_fullStr Sharp Turán inequalities via very hyperbolic polynomials
title_full_unstemmed Sharp Turán inequalities via very hyperbolic polynomials
title_sort Sharp Turán inequalities via very hyperbolic polynomials
author Dimitrov, Dimitar K. [UNESP]
author_facet Dimitrov, Dimitar K. [UNESP]
Kostov, Vladimir P.
author_role author
author2 Kostov, Vladimir P.
author2_role author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (Unesp)
Parc Valrose
dc.contributor.author.fl_str_mv Dimitrov, Dimitar K. [UNESP]
Kostov, Vladimir P.
dc.subject.por.fl_str_mv Hyperbolic polynomials
Laguerre-Pólya class
Maclaurin coefficients
Turán inequalities
Very hyperbolic polynomials
topic Hyperbolic polynomials
Laguerre-Pólya class
Maclaurin coefficients
Turán inequalities
Very hyperbolic polynomials
description We present new sharp inequalities for the Maclaurin coefficients of an entire function from the Laguerre-Pólya class. They are obtained by a new technique involving the so-called very hyperbolic polynomials. The results may be considered as extensions of the classical Turán inequalities. © 2010 Elsevier Inc.
publishDate 2011
dc.date.none.fl_str_mv 2011-04-15
2014-05-27T11:25:51Z
2014-05-27T11:25:51Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.1016/j.jmaa.2010.12.014
Journal of Mathematical Analysis and Applications, v. 376, n. 2, p. 385-392, 2011.
0022-247X
1096-0813
http://hdl.handle.net/11449/72383
10.1016/j.jmaa.2010.12.014
2-s2.0-78650700641
2-s2.0-78650700641.pdf
url http://dx.doi.org/10.1016/j.jmaa.2010.12.014
http://hdl.handle.net/11449/72383
identifier_str_mv Journal of Mathematical Analysis and Applications, v. 376, n. 2, p. 385-392, 2011.
0022-247X
1096-0813
10.1016/j.jmaa.2010.12.014
2-s2.0-78650700641
2-s2.0-78650700641.pdf
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Journal of Mathematical Analysis and Applications
1.138
1,103
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 385-392
application/pdf
dc.source.none.fl_str_mv Scopus
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
_version_ 1808128995828432896

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