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Some properties of zeros of Sobolev-type orthogonal polynomials

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dc.affiliation.dptoUC3M. Departamento de Matemáticases
dc.affiliation.grupoinvUC3M. Grupo de Investigación: Análisis Aplicadoes
dc.contributor.authorAlfaro, Manuel
dc.contributor.authorLópez Lagomasino, Guillermo
dc.contributor.authorRezola, M. Luisa
dc.date.accessioned2010-01-13T13:51:28Z
dc.date.available2010-01-13T13:51:28Z
dc.date.issued1996-04-30
dc.description9 pages, no figures.-- MSC1991 code: 33C45.
dc.descriptionMR#: MR1391618 (97f:33008)
dc.descriptionZbl#: Zbl 0862.33005
dc.description.abstractFor polynomials orthogonal with respect to a discrete Sobolev product, we prove that, for each n, Qn has at least n − m zeros on the convex hull of the support of the measure, where m denotes the number of terms in the discrete part. Interlacing properties of zeros are also described.
dc.description.sponsorshipResearch by first (M.A.) and third (M.L.R.) authors was partially supported by Diputación General de Aragón P CB-12/91 and by Comisión Interministerial de Ciencia y Tecnología (CICYT-Spain) PB93-0228-C02-02.
dc.description.statusPublicado
dc.format.mimetypeapplication/pdf
dc.identifier.bibliographicCitationJournal of Computational and Applied Mathematics, 1998, vol. 69, n. 1, p. 171-179
dc.identifier.doi10.1016/0377-0427(95)00034-8
dc.identifier.issn0377-0427
dc.identifier.urihttp://hdl.handle.net/10016/6372
dc.language.isoeng
dc.publisherElsevier
dc.relation.publisherversionhttp://dx.doi.org/10.1016/0377-0427(95)00034-8
dc.rights© Elsevier
dc.rights.accessRightsopen access
dc.subject.ecienciaMatemáticas
dc.subject.otherOrthogonal and quasi-orthogonal polynomials
dc.subject.otherSobolev-type products
dc.subject.otherGauss-Jacobi quadrature formula
dc.subject.otherZeros
dc.titleSome properties of zeros of Sobolev-type orthogonal polynomials
dc.typeresearch article*
dc.type.reviewPeerReviewed
dspace.entity.typePublication
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