Coherent pairs of moment functionals of the second kind and associated orthogonal polynomials and Sobolev orthogonal polynomials

Detalhes bibliográficos
Autor(a) principal: Hancco Suni, M. [UNESP]
Data de Publicação: 2023
Outros Autores: Marcato, G. A. [UNESP], Marcellán, F., Sri Ranga, A. [UNESP]
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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spelling 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:29462023-07-29T13:43:52Repositório 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
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