Coherent pairs of moment functionals of the second kind and associated orthogonal polynomials and Sobolev orthogonal polynomials
Autor(a) principal: | |
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Data de Publicação: | 2023 |
Outros Autores: | , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1016/j.jmaa.2023.127118 http://hdl.handle.net/11449/248429 |
Resumo: | Given a pair of quasi-definite moment functionals {v0,v1} we introduce the concept of coherence of the second kind in terms of an algebraic relation that the corresponding sequences of orthogonal polynomials satisfy. We characterize such moment functionals and give some illustrative examples taking into account they are semiclassical of class at most one. The relation between the corresponding monic Jacobi matrices is stated. For a pair of moment functionals satisfying the coherence property of the second kind, a Sobolev inner product is introduced. The connection formulas between the sequence of monic orthogonal polynomials associated with such a Sobolev inner product and the sequence of monic polynomials orthogonal with respect to the moment functional v0 are given. |
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Coherent pairs of moment functionals of the second kind and associated orthogonal polynomials and Sobolev orthogonal polynomialsCoherent pairs of the second kindJacobi matricesMoment functionalsOrthogonal polynomialsSemiclassical moment functionalsSobolev orthogonal polynomialsGiven a pair of quasi-definite moment functionals {v0,v1} we introduce the concept of coherence of the second kind in terms of an algebraic relation that the corresponding sequences of orthogonal polynomials satisfy. We characterize such moment functionals and give some illustrative examples taking into account they are semiclassical of class at most one. The relation between the corresponding monic Jacobi matrices is stated. For a pair of moment functionals satisfying the coherence property of the second kind, a Sobolev inner product is introduced. The connection formulas between the sequence of monic orthogonal polynomials associated with such a Sobolev inner product and the sequence of monic polynomials orthogonal with respect to the moment functional v0 are given.Universidad Carlos III de MadridFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)Departamento de Matemática IBILCE UNESP - Universidade Estadual Paulista, SPDepartamento de Matemáticas Universidad Carlos III de MadridDepartamento de Matemática IBILCE UNESP - Universidade Estadual Paulista, SPFAPESP: 2020/14244-2CNPq: 304087/2018-1CAPES: 88887.310740/2018-00CAPES: 88887.575061/2020-00Universidad Carlos III de Madrid: EPUC3M23Universidade Estadual Paulista (UNESP)Universidad Carlos III de MadridHancco Suni, M. [UNESP]Marcato, G. A. [UNESP]Marcellán, F.Sri Ranga, A. [UNESP]2023-07-29T13:43:52Z2023-07-29T13:43:52Z2023-09-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1016/j.jmaa.2023.127118Journal of Mathematical Analysis and Applications, v. 525, n. 1, 2023.1096-08130022-247Xhttp://hdl.handle.net/11449/24842910.1016/j.jmaa.2023.1271182-s2.0-85149030670Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengJournal of Mathematical Analysis and Applicationsinfo:eu-repo/semantics/openAccess2023-07-29T13:43:52Zoai:repositorio.unesp.br:11449/248429Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T13:50:14.075909Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Coherent pairs of moment functionals of the second kind and associated orthogonal polynomials and Sobolev orthogonal polynomials |
title |
Coherent pairs of moment functionals of the second kind and associated orthogonal polynomials and Sobolev orthogonal polynomials |
spellingShingle |
Coherent pairs of moment functionals of the second kind and associated orthogonal polynomials and Sobolev orthogonal polynomials Hancco Suni, M. [UNESP] Coherent pairs of the second kind Jacobi matrices Moment functionals Orthogonal polynomials Semiclassical moment functionals Sobolev orthogonal polynomials |
title_short |
Coherent pairs of moment functionals of the second kind and associated orthogonal polynomials and Sobolev orthogonal polynomials |
title_full |
Coherent pairs of moment functionals of the second kind and associated orthogonal polynomials and Sobolev orthogonal polynomials |
title_fullStr |
Coherent pairs of moment functionals of the second kind and associated orthogonal polynomials and Sobolev orthogonal polynomials |
title_full_unstemmed |
Coherent pairs of moment functionals of the second kind and associated orthogonal polynomials and Sobolev orthogonal polynomials |
title_sort |
Coherent pairs of moment functionals of the second kind and associated orthogonal polynomials and Sobolev orthogonal polynomials |
author |
Hancco Suni, M. [UNESP] |
author_facet |
Hancco Suni, M. [UNESP] Marcato, G. A. [UNESP] Marcellán, F. Sri Ranga, A. [UNESP] |
author_role |
author |
author2 |
Marcato, G. A. [UNESP] Marcellán, F. Sri Ranga, A. [UNESP] |
author2_role |
author author author |
dc.contributor.none.fl_str_mv |
Universidade Estadual Paulista (UNESP) Universidad Carlos III de Madrid |
dc.contributor.author.fl_str_mv |
Hancco Suni, M. [UNESP] Marcato, G. A. [UNESP] Marcellán, F. Sri Ranga, A. [UNESP] |
dc.subject.por.fl_str_mv |
Coherent pairs of the second kind Jacobi matrices Moment functionals Orthogonal polynomials Semiclassical moment functionals Sobolev orthogonal polynomials |
topic |
Coherent pairs of the second kind Jacobi matrices Moment functionals Orthogonal polynomials Semiclassical moment functionals Sobolev orthogonal polynomials |
description |
Given a pair of quasi-definite moment functionals {v0,v1} we introduce the concept of coherence of the second kind in terms of an algebraic relation that the corresponding sequences of orthogonal polynomials satisfy. We characterize such moment functionals and give some illustrative examples taking into account they are semiclassical of class at most one. The relation between the corresponding monic Jacobi matrices is stated. For a pair of moment functionals satisfying the coherence property of the second kind, a Sobolev inner product is introduced. The connection formulas between the sequence of monic orthogonal polynomials associated with such a Sobolev inner product and the sequence of monic polynomials orthogonal with respect to the moment functional v0 are given. |
publishDate |
2023 |
dc.date.none.fl_str_mv |
2023-07-29T13:43:52Z 2023-07-29T13:43:52Z 2023-09-01 |
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.2023.127118 Journal of Mathematical Analysis and Applications, v. 525, n. 1, 2023. 1096-0813 0022-247X http://hdl.handle.net/11449/248429 10.1016/j.jmaa.2023.127118 2-s2.0-85149030670 |
url |
http://dx.doi.org/10.1016/j.jmaa.2023.127118 http://hdl.handle.net/11449/248429 |
identifier_str_mv |
Journal of Mathematical Analysis and Applications, v. 525, n. 1, 2023. 1096-0813 0022-247X 10.1016/j.jmaa.2023.127118 2-s2.0-85149030670 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Journal of Mathematical Analysis and Applications |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
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_ |
1808128280774049792 |