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Hermite-Padé approximation and simultaneous quadrature formulas

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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.authorIllán, Jesús R.
dc.contributor.authorLópez Lagomasino, Guillermo
dc.date.accessioned2010-01-08T08:39:45Z
dc.date.available2010-01-08T08:39:45Z
dc.date.issued2004-02
dc.description27 pages, no figures.-- MSC1991 code: Primary 42C05.
dc.descriptionMR#: MR2045538 (2005c:41024)
dc.descriptionZbl#: Zbl 1065.42019
dc.description.abstractWe study Hermite–Padé approximation of the so-called Nikishin systems of functions. In particular, the set of multi-indices for which normality is known to take place is considerably enlarged as well as the sequences of multi-indices for which convergence of the corresponding simultaneous rational approximants takes place. These results are applied to the study of the convergence properties of simultaneous quadrature rules of a given function with respect to different weights.
dc.description.sponsorshipThe work of U.F.P. and G.L.L. was partially supported by Dirección General de Enseñanza Superior under Grant BFM2003-06335-C03-02 and of G.L.L. by INTAS under Grant INTAS 03-51-6637.
dc.description.statusPublicado
dc.format.mimetypeapplication/pdf
dc.identifier.bibliographicCitationJournal of Approximation Theory, 2004, vol. 126, n. 2, p. 171-197
dc.identifier.doi10.1016/j.jat.2004.01.004
dc.identifier.issn0021-9045
dc.identifier.urihttp://hdl.handle.net/10016/6296
dc.language.isoeng
dc.publisherElsevier
dc.relation.publisherversionhttp://dx.doi.org/10.1016/j.jat.2004.01.004
dc.rights© Elsevier
dc.rights.accessRightsopen access
dc.subject.ecienciaMatemáticas
dc.subject.otherHermite-Padé approximation
dc.subject.otherNikishin systems
dc.subject.otherSimultaneous quadratures
dc.titleHermite-Padé approximation and simultaneous quadrature formulas
dc.typeresearch article*
dc.type.reviewPeerReviewed
dspace.entity.typePublication
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