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Generalized Hermite-Padé approximation for Nikishin systems of three functions

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dc.affiliation.dptoUC3M. Departamento de Matemáticases
dc.affiliation.grupoinvUC3M. Grupo de Investigación: Análisis Aplicadoes
dc.contributor.authorFidalgo Prieto, Ulises
dc.contributor.authorLópez Lagomasino, Guillermo
dc.date.accessioned2010-01-04T13:12:44Z
dc.date.available2010-01-04T13:12:44Z
dc.date.issued2010-01-15
dc.description9 pages, no figures.-- MSC1991 code: Primary 42C05.-- Issue title: "Special Functions, Information Theory, and Mathematical Physics". Special issue dedicated to Professor Jesús Sánchez Dehesa on the occasion of his 60th birthday.
dc.descriptionZbl#: Zbl pre05650072
dc.description.abstractNikishin systems of three functions are considered. For such systems, the rate of convergence of simultaneous interpolating rational approximations with partially prescribed poles is studied. The solution is described in terms of the solution of a vector equilibrium problem in the presence of a vector external field.
dc.description.sponsorshipFirst author’s research supported by grants MTM 2006-13000-C03-02 from Ministerio de Ciencia y Tecnología and CCG 06–UC3M/ESP–0690 of Universidad Carlos III de Madrid-Comunidad de Madrid and by grant SFRH/BPD/31724/2006 from Fundação para a Ciência e a Tecnologia. Second author’s research supported by grants MTM 2006-13000-C03-02 from Ministerio de Ciencia y Tecnología and CCG 06–UC3M/ESP–0690 of Universidad Carlos III de Madrid-Comunidad de Madrid.
dc.description.statusPublicado
dc.format.mimetypeapplication/pdf
dc.identifier.bibliographicCitationJournal of Computational and Applied Mathematics, 2010, vol. 233, n. 6, p. 1525-1533
dc.identifier.doi10.1016/j.cam.2009.02.068
dc.identifier.issn0377-0427
dc.identifier.urihttps://hdl.handle.net/10016/6265
dc.language.isoeng
dc.publisherElsevier
dc.relation.publisherversionhttp://dx.doi.org/10.1016/j.cam.2009.02.068
dc.rights© Elsevier
dc.rights.accessRightsopen access
dc.subject.ecienciaMatemáticas
dc.subject.otherApproximation by rational function
dc.subject.otherRate of convergence
dc.subject.otherSimultaneous approximation
dc.titleGeneralized Hermite-Padé approximation for Nikishin systems of three functions
dc.typeresearch article*
dc.type.reviewPeerReviewed
dspace.entity.typePublication
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