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

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dc.contributor.authorHancco Suni, M. [UNESP]
dc.contributor.authorMarcato, G. A. [UNESP]
dc.contributor.authorMarcellán, F.
dc.contributor.authorSri Ranga, A. [UNESP]
dc.contributor.institutionUniversidade Estadual Paulista (UNESP)
dc.contributor.institutionUniversidad Carlos III de Madrid
dc.date.accessioned2023-07-29T13:43:52Z
dc.date.available2023-07-29T13:43:52Z
dc.date.issued2023-09-01
dc.description.abstractGiven 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.en
dc.description.affiliationDepartamento de Matemática IBILCE UNESP - Universidade Estadual Paulista, SP
dc.description.affiliationDepartamento de Matemáticas Universidad Carlos III de Madrid
dc.description.affiliationUnespDepartamento de Matemática IBILCE UNESP - Universidade Estadual Paulista, SP
dc.description.sponsorshipUniversidad Carlos III de Madrid
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.description.sponsorshipConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.description.sponsorshipCoordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
dc.description.sponsorshipIdFAPESP: 2020/14244-2
dc.description.sponsorshipIdCNPq: 304087/2018-1
dc.description.sponsorshipIdCAPES: 88887.310740/2018-00
dc.description.sponsorshipIdCAPES: 88887.575061/2020-00
dc.description.sponsorshipIdUniversidad Carlos III de Madrid: EPUC3M23
dc.identifierhttp://dx.doi.org/10.1016/j.jmaa.2023.127118
dc.identifier.citationJournal of Mathematical Analysis and Applications, v. 525, n. 1, 2023.
dc.identifier.doi10.1016/j.jmaa.2023.127118
dc.identifier.issn1096-0813
dc.identifier.issn0022-247X
dc.identifier.scopus2-s2.0-85149030670
dc.identifier.urihttp://hdl.handle.net/11449/248429
dc.language.isoeng
dc.relation.ispartofJournal of Mathematical Analysis and Applications
dc.sourceScopus
dc.subjectCoherent pairs of the second kind
dc.subjectJacobi matrices
dc.subjectMoment functionals
dc.subjectOrthogonal polynomials
dc.subjectSemiclassical moment functionals
dc.subjectSobolev orthogonal polynomials
dc.titleCoherent pairs of moment functionals of the second kind and associated orthogonal polynomials and Sobolev orthogonal polynomialsen
dc.typeArtigo

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