Monotonicity and asymptotics of zeros of Sobolev type orthogonal polynomials: A general case

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dc.contributor.authorCastillo, Kenier
dc.contributor.authorMello, Mirela V. [UNESP]
dc.contributor.authorRafaeli, Fernando R. [UNESP]
dc.contributor.institutionUniv Carlos III Madrid
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2014-05-20T13:13:16Z
dc.date.available2014-05-20T13:13:16Z
dc.date.issued2012-11-01
dc.description.abstractWe investigate the location, monotonicity, and asymptotics of the zeros of the polynomials orthogonal with respect to the Sobolev type inner product< p, q > (lambda,c.j) = integral(b)(a) p(x)q(x)mu(x) + lambda p((j))(c)q((j))(c),where mu is a positive Borel measure, lambda >= 0, j is an element of Z(+), and c is not an element of (a, b). We prove that these zeros are monotonic function of the parameter A and establish their asymptotics when either lambda converges to zero or to infinity. The precise location of the extreme zeros is also analyzed. (c) 2012 IMACS. Published by Elsevier B.V. All rights reserved.en
dc.description.affiliationUniv Carlos III Madrid, Dept Matemat, Leganes 28911, Spain
dc.description.affiliationUniv Estadual Paulista Unesp, IBILCE, Dept Matemat Aplicada, Jaboticabal, Brazil
dc.description.affiliationUnespUniv Estadual Paulista Unesp, IBILCE, Dept Matemat Aplicada, Jaboticabal, Brazil
dc.description.sponsorshipDireccion General de Investigacion, Ministerio de Ciência e Innovacion of Spain
dc.description.sponsorshipCoordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
dc.description.sponsorshipConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.description.sponsorshipFundação para o Desenvolvimento da UNESP (FUNDUNESP)
dc.description.sponsorshipIdDireccion General de Investigacion, Ministerio de Ciência e Innovacion of Spain: MTM2009-12740-C03-01
dc.format.extent1663-1671
dc.identifierhttp://dx.doi.org/10.1016/j.apnum.2012.05.006
dc.identifier.citationApplied Numerical Mathematics. Amsterdam: Elsevier B.V., v. 62, n. 11, p. 1663-1671, 2012.
dc.identifier.doi10.1016/j.apnum.2012.05.006
dc.identifier.issn0168-9274
dc.identifier.urihttp://hdl.handle.net/11449/1113
dc.identifier.wosWOS:000309027700005
dc.language.isoeng
dc.publisherElsevier B.V.
dc.relation.ispartofApplied Numerical Mathematics
dc.relation.ispartofjcr1.263
dc.relation.ispartofsjr0,930
dc.rights.accessRightsAcesso restrito
dc.sourceWeb of Science
dc.subjectOrthogonal polynomialsen
dc.subjectSobolev type inner producten
dc.subjectZerosen
dc.subjectMonotonicityen
dc.subjectAsymptotic behavioren
dc.titleMonotonicity and asymptotics of zeros of Sobolev type orthogonal polynomials: A general caseen
dc.typeArtigo
dcterms.licensehttp://www.elsevier.com/about/open-access/open-access-policies/article-posting-policy
dcterms.rightsHolderElsevier B.V.
unesp.author.orcid0000-0003-4803-8182[1]
unesp.campusUniversidade Estadual Paulista (Unesp), Faculdade de Ciências Agrárias e Veterinárias, Jaboticabalpt

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