Zeros of Jacobi-Sobolev orthogonal polynomials following non-coherent pair of measures

Detalhes bibliográficos
Autor(a) principal: de Andrade, Eliana X.L. [UNESP]
Data de Publicação: 2010
Outros Autores: Bracciali, Cleonice Fátima [UNESP], de Mello, Mirela V. [UNESP], Pérez, Teresa E.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1590/S1807-03022010000300006
http://hdl.handle.net/11449/72223
Resumo: Zeros of orthogonal polynomials associated with two different Sobolev inner products involving the Jacobi measure are studied. In particular, each of these Sobolev inner products involves a pair of closely related Jacobi measures. The measures of the inner products considered are beyond the concept of coherent pairs of measures. Existence, real character, location and interlacing properties for the zeros of these Jacobi-Sobolev orthogonal polynomials are deduced. © 2010 SBMAC.
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spelling Zeros of Jacobi-Sobolev orthogonal polynomials following non-coherent pair of measuresJacobi orthogonal polynomialsSobolev orthogonal polynomialsZeros of orthogonal polynomialsZeros of orthogonal polynomials associated with two different Sobolev inner products involving the Jacobi measure are studied. In particular, each of these Sobolev inner products involves a pair of closely related Jacobi measures. The measures of the inner products considered are beyond the concept of coherent pairs of measures. Existence, real character, location and interlacing properties for the zeros of these Jacobi-Sobolev orthogonal polynomials are deduced. © 2010 SBMAC.Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Ministerio de Ciência e Innovacion (Micinn) of SpainEuropean Regional Development Fund (ERDF)Junta de AndaluciaDCCE IBILCE UNESP - Universidade Estadual Paulista, 15054-000 São José do Rio Preto, SPDepartamento de Matemática Aplicada Instituto Carlos I de Física Teórica y Computacional Universidad de Granada, 18071 GranadaDCCE IBILCE UNESP - Universidade Estadual Paulista, 15054-000 São José do Rio Preto, SPEuropean Regional Development Fund: MTM-2008-06689-C02-02Junta de Andalucia: G.I. FQM 0229Universidade Estadual Paulista (Unesp)Universidad de Granadade Andrade, Eliana X.L. [UNESP]Bracciali, Cleonice Fátima [UNESP]de Mello, Mirela V. [UNESP]Pérez, Teresa E.2014-05-27T11:25:25Z2014-05-27T11:25:25Z2010-12-14info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article423-445application/pdfhttp://dx.doi.org/10.1590/S1807-03022010000300006Computational and Applied Mathematics, v. 29, n. 3, p. 423-445, 2010.0101-82051807-0302http://hdl.handle.net/11449/7222310.1590/S1807-03022010000300006S1807-03022010000300006WOS:0002875451000062-s2.0-786499318642-s2.0-78649931864.pdf83003224526224670000-0002-6823-4204Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengComputational and Applied Mathematics0.8630,272info:eu-repo/semantics/openAccess2023-11-03T06:07:17Zoai:repositorio.unesp.br:11449/72223Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T16:46:48.075515Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Zeros of Jacobi-Sobolev orthogonal polynomials following non-coherent pair of measures
title Zeros of Jacobi-Sobolev orthogonal polynomials following non-coherent pair of measures
spellingShingle Zeros of Jacobi-Sobolev orthogonal polynomials following non-coherent pair of measures
de Andrade, Eliana X.L. [UNESP]
Jacobi orthogonal polynomials
Sobolev orthogonal polynomials
Zeros of orthogonal polynomials
title_short Zeros of Jacobi-Sobolev orthogonal polynomials following non-coherent pair of measures
title_full Zeros of Jacobi-Sobolev orthogonal polynomials following non-coherent pair of measures
title_fullStr Zeros of Jacobi-Sobolev orthogonal polynomials following non-coherent pair of measures
title_full_unstemmed Zeros of Jacobi-Sobolev orthogonal polynomials following non-coherent pair of measures
title_sort Zeros of Jacobi-Sobolev orthogonal polynomials following non-coherent pair of measures
author de Andrade, Eliana X.L. [UNESP]
author_facet de Andrade, Eliana X.L. [UNESP]
Bracciali, Cleonice Fátima [UNESP]
de Mello, Mirela V. [UNESP]
Pérez, Teresa E.
author_role author
author2 Bracciali, Cleonice Fátima [UNESP]
de Mello, Mirela V. [UNESP]
Pérez, Teresa E.
author2_role author
author
author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (Unesp)
Universidad de Granada
dc.contributor.author.fl_str_mv de Andrade, Eliana X.L. [UNESP]
Bracciali, Cleonice Fátima [UNESP]
de Mello, Mirela V. [UNESP]
Pérez, Teresa E.
dc.subject.por.fl_str_mv Jacobi orthogonal polynomials
Sobolev orthogonal polynomials
Zeros of orthogonal polynomials
topic Jacobi orthogonal polynomials
Sobolev orthogonal polynomials
Zeros of orthogonal polynomials
description Zeros of orthogonal polynomials associated with two different Sobolev inner products involving the Jacobi measure are studied. In particular, each of these Sobolev inner products involves a pair of closely related Jacobi measures. The measures of the inner products considered are beyond the concept of coherent pairs of measures. Existence, real character, location and interlacing properties for the zeros of these Jacobi-Sobolev orthogonal polynomials are deduced. © 2010 SBMAC.
publishDate 2010
dc.date.none.fl_str_mv 2010-12-14
2014-05-27T11:25:25Z
2014-05-27T11:25:25Z
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/10.1590/S1807-03022010000300006
Computational and Applied Mathematics, v. 29, n. 3, p. 423-445, 2010.
0101-8205
1807-0302
http://hdl.handle.net/11449/72223
10.1590/S1807-03022010000300006
S1807-03022010000300006
WOS:000287545100006
2-s2.0-78649931864
2-s2.0-78649931864.pdf
8300322452622467
0000-0002-6823-4204
url http://dx.doi.org/10.1590/S1807-03022010000300006
http://hdl.handle.net/11449/72223
identifier_str_mv Computational and Applied Mathematics, v. 29, n. 3, p. 423-445, 2010.
0101-8205
1807-0302
10.1590/S1807-03022010000300006
S1807-03022010000300006
WOS:000287545100006
2-s2.0-78649931864
2-s2.0-78649931864.pdf
8300322452622467
0000-0002-6823-4204
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Computational and Applied Mathematics
0.863
0,272
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 423-445
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_ 1808128699591032832

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