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Convergence of multipoint Padé-type approximants

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dc.affiliation.dptoUC3M. Departamento de Matemáticases
dc.affiliation.grupoinvUC3M. Grupo de Investigación: Análisis Aplicadoes
dc.contributor.authorCalle Ysern, Bernardo de la
dc.contributor.authorLópez Lagomasino, Guillermo
dc.date.accessioned2010-01-11T14:10:49Z
dc.date.available2010-01-11T14:10:49Z
dc.date.issued2001-04
dc.description22 pages, no figures.-- MSC2000 code: 41A21.
dc.descriptionMR#: MR1820896 (2002a:41014)
dc.descriptionZbl#: Zbl 0982.41008
dc.description.abstractLet μ be a finite positive Borel measure whose support is a compact subset K of the real line and let I be the convex hull of K. Let r denote a rational function with real coefficients whose poles lie in $\bbfC\setminus I\$ and $r(\infty)=0$. We consider multipoint rational interpolants of the function $$ f(z)=\int {d\mu(x)\over z-x}+r(z) $$, where some poles are fixed and others are left free. We show that if the interpolation points and the fixed poles are chosen conveniently then the sequence of multipoint rational approximants converges geometrically to f in the chordal metric on compact subsets of $\bbfC\setminus I\$.
dc.description.sponsorshipThe second author (G.L.L.) was supported by Dirección General de Enseñanza Superior under Grant PB 96-0120-C03-01 and by INTAS under Grant 93-0219 EXT.
dc.description.statusPublicado
dc.format.mimetypeapplication/pdf
dc.identifier.bibliographicCitationJournal of Approximation Theory, 2001, vol. 109, n. 2, p. 257-278
dc.identifier.doi10.1006/jath.2000.3537
dc.identifier.issn0021-9045
dc.identifier.urihttps://hdl.handle.net/10016/6337
dc.language.isoeng
dc.publisherElsevier
dc.relation.publisherversionhttp://dx.doi.org/10.1006/jath.2000.3537
dc.rights© Elsevier
dc.rights.accessRightsopen access
dc.subject.ecienciaMatemáticas
dc.subject.otherPadé-type approximation
dc.subject.otherRational approximation
dc.subject.otherMulti-point approximation
dc.subject.otherInterpolation
dc.subject.otherGeometric convergence
dc.subject.otherChordal metric
dc.subject.otherCapacity
dc.subject.otherPre-assigned poles
dc.titleConvergence of multipoint Padé-type approximants
dc.typeresearch article*
dc.type.reviewPeerReviewed
dspace.entity.typePublication
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