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Zeros of Gegenbauer-Sobolev Orthogonal Polynomials: Beyond Coherent Pairs

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dc.contributor.authorde Andrade, E. X. L. [UNESP]
dc.contributor.authorBracciali, Cleonice Fátima [UNESP]
dc.contributor.authorRanga, Alagacone Sri [UNESP]
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2014-05-20T14:01:44Z
dc.date.available2014-05-20T14:01:44Z
dc.date.issued2009-01-01
dc.description.abstractIserles et al. (J. Approx. Theory 65: 151-175, 1991) introduced the concepts of coherent pairs and symmetrically coherent pairs of measures with the aim of obtaining Sobolev inner products with their respective orthogonal polynomials satisfying a particular type of recurrence relation. Groenevelt (J. Approx. Theory 114: 115-140, 2002) considered the special Gegenbauer-Sobolev inner products, covering all possible types of coherent pairs, and proves certain interlacing properties of the zeros of the associated orthogonal polynomials. In this paper we extend the results of Groenevelt, when the pair of measures in the Gegenbauer-Sobolev inner product no longer form a coherent pair.en
dc.description.affiliationUniv Estadual Paulista, IBILCE, DCCE, BR-15054000 Sao Jose do Rio Preto, SP, Brazil
dc.description.affiliationUnespUniv Estadual Paulista, IBILCE, DCCE, BR-15054000 Sao Jose do Rio Preto, SP, Brazil
dc.description.sponsorshipConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.format.extent65-82
dc.identifierhttp://dx.doi.org/10.1007/s10440-008-9265-8
dc.identifier.citationActa Applicandae Mathematicae. Dordrecht: Springer, v. 105, n. 1, p. 65-82, 2009.
dc.identifier.dimensionspub.1049430114
dc.identifier.doi10.1007/s10440-008-9265-8
dc.identifier.issn0167-8019
dc.identifier.issn1572-9036
dc.identifier.lattes8300322452622467
dc.identifier.lattes3587123309745610
dc.identifier.orcid0000-0002-6823-4204
dc.identifier.orcid0000-0002-5124-8423
dc.identifier.urihttp://hdl.handle.net/11449/21794
dc.identifier.wosWOS:000261400800003
dc.language.isoeng
dc.publisherSpringer
dc.publisherSpringer Nature
dc.relation.ispartofActa Applicandae Mathematicae
dc.relation.ispartofjcr0.910
dc.relation.ispartofsjr0,675
dc.rights.accessRightsAcesso restritopt
dc.sourceWeb of Science
dc.sourceDimensions
dc.subjectGegenbauer polynomialsen
dc.subjectZeros of Gegenbauer-Sobolev orthogonal polynomialsen
dc.subjectSymmetrically coherent pairsen
dc.titleZeros of Gegenbauer-Sobolev Orthogonal Polynomials: Beyond Coherent Pairsen
dc.typeArtigopt
dcterms.licensehttp://www.springer.com/open+access/authors+rights?SGWID=0-176704-12-683201-0
dcterms.rightsHolderSpringer
dspace.entity.typePublication
relation.isOrgUnitOfPublication43c38943-bd6f-4fb6-a9a5-8482a1f632c0
relation.isOrgUnitOfPublication.latestForDiscovery43c38943-bd6f-4fb6-a9a5-8482a1f632c0
unesp.author.lattes3587123309745610[3]
unesp.author.lattes8300322452622467[2]
unesp.author.orcid0000-0002-5124-8423[3]
unesp.author.orcid0000-0002-6823-4204[2]
unesp.campusUniversidade Estadual Paulista (UNESP), Instituto de Biociências Letras e Ciências Exatas, São José do Rio Pretopt
unesp.departmentCiências da Computação e Estatística - IBILCEpt

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São José do Rio Preto - IBILCE - Instituto de Biociências, Letras e Ciências Exatas