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

Detalhes bibliográficos
Autor(a) principal: Andrade,Eliana X.L. De
Data de Publicação: 2010
Outros Autores: Bracciali,Cleonice F, Mello,Mirela V. De, Pérez,Teresa E
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Computational & Applied Mathematics
Texto Completo: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022010000300006
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. MATHEMATICAL SUBJECT CLASSIFICATION: 33C45, 33C47, 26C10.
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spelling Zeros of Jacobi-Sobolev orthogonal polynomials following non-coherent pair of measuresSobolev orthogonal polynomialsJacobi 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. MATHEMATICAL SUBJECT CLASSIFICATION: 33C45, 33C47, 26C10.Sociedade Brasileira de Matemática Aplicada e Computacional2010-01-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022010000300006Computational & Applied Mathematics v.29 n.3 2010reponame:Computational & Applied Mathematicsinstname:Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)instacron:SBMAC10.1590/S1807-03022010000300006info:eu-repo/semantics/openAccessAndrade,Eliana X.L. DeBracciali,Cleonice FMello,Mirela V. DePérez,Teresa Eeng2010-11-22T00:00:00Zoai:scielo:S1807-03022010000300006Revistahttps://www.scielo.br/j/cam/ONGhttps://old.scielo.br/oai/scielo-oai.php||sbmac@sbmac.org.br1807-03022238-3603opendoar:2010-11-22T00:00Computational & Applied Mathematics - Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)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
Andrade,Eliana X.L. De
Sobolev orthogonal polynomials
Jacobi 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 Andrade,Eliana X.L. De
author_facet Andrade,Eliana X.L. De
Bracciali,Cleonice F
Mello,Mirela V. De
Pérez,Teresa E
author_role author
author2 Bracciali,Cleonice F
Mello,Mirela V. De
Pérez,Teresa E
author2_role author
author
author
dc.contributor.author.fl_str_mv Andrade,Eliana X.L. De
Bracciali,Cleonice F
Mello,Mirela V. De
Pérez,Teresa E
dc.subject.por.fl_str_mv Sobolev orthogonal polynomials
Jacobi orthogonal polynomials
Zeros of orthogonal polynomials
topic Sobolev orthogonal polynomials
Jacobi 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. MATHEMATICAL SUBJECT CLASSIFICATION: 33C45, 33C47, 26C10.
publishDate 2010
dc.date.none.fl_str_mv 2010-01-01
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022010000300006
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022010000300006
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/S1807-03022010000300006
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv text/html
dc.publisher.none.fl_str_mv Sociedade Brasileira de Matemática Aplicada e Computacional
publisher.none.fl_str_mv Sociedade Brasileira de Matemática Aplicada e Computacional
dc.source.none.fl_str_mv Computational & Applied Mathematics v.29 n.3 2010
reponame:Computational & Applied Mathematics
instname:Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)
instacron:SBMAC
instname_str Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)
instacron_str SBMAC
institution SBMAC
reponame_str Computational & Applied Mathematics
collection Computational & Applied Mathematics
repository.name.fl_str_mv Computational & Applied Mathematics - Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)
repository.mail.fl_str_mv ||sbmac@sbmac.org.br
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