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Direct and inverse results on row sequences of simultaneous Pade-Faber approximants

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dc.affiliation.dptoUC3M. Departamento de Matemáticases
dc.affiliation.grupoinvUC3M. Grupo de Investigación: Análisis Aplicadoes
dc.contributor.authorBosuwan, Nattapong
dc.contributor.authorLópez Lagomasino, Guillermo
dc.contributor.funderMinisterio de Economía y Competitividad (España)es
dc.date.accessioned2023-09-11T10:19:24Z
dc.date.available2023-09-11T10:19:24Z
dc.date.issued2019-04
dc.description.abstractGiven a vector function F=(F1,...,Fd), analytic on a neighborhood of some compact subset E of the complex plane with simply connected complement, we define a sequence of vector rational functions with common denominator in terms of the expansions of the components Fk,k=1,...,d, with respect to the sequence of Faber polynomials associated with E. Such sequences of vector rational functions are analogous to row sequences of type II Hermite-Pade approximation. We give necessary and sufficient conditions for the convergence with geometric rate of the common denominators of the sequence of vector rational functions so constructed. The exact rate of convergence of these denominators is provided and the rate of convergence of the approximants is estimated. It is shown that the common denominators of the approximants detect the poles of the system of functions closest to E and their order.en
dc.description.sponsorshipNattapong Bosuwan was supported by the Strengthen Research Grant for New Lecturer from the Thailand Research Fund and the Office of the Higher Education Commission (MRG6080133) and Faculty of Science, Mahidol University. Guillermo Lopez Lagomasino was supported by research Grant MTM2015-65888-C4-2-P from Ministerio de Economia, Industria y Competitividad.en
dc.format.extent21
dc.identifier.bibliographicCitationBosuwan, N., & López Lagomasino, G. (2019). Direct and inverse results on row sequences of simultaneous Padé–Faber approximants. Mediterranean Journal of Mathematics, 16(2), 36.en
dc.identifier.doihttps://doi.org/10.1007/s00009-019-1307-0
dc.identifier.issn1660-5446
dc.identifier.publicationfirstpage1
dc.identifier.publicationissue2, 36
dc.identifier.publicationlastpage21
dc.identifier.publicationtitleMediterranean Journal of Mathematicsen
dc.identifier.publicationvolume16
dc.identifier.urihttps://hdl.handle.net/10016/38288
dc.identifier.uxxiAR/0000023342
dc.language.isoengen
dc.publisherSpringer Natureen
dc.relation.projectIDGobierno de España. MTM2015-65888-C4-2-Pes
dc.rights© Springer Nature Switzerland AG 2019en
dc.rights.accessRightsopen accessen
dc.subject.ecienciaMatemáticases
dc.subject.otherMontessus de Ballore's theoremen
dc.subject.otherFaber polynomialsen
dc.subject.otherSimultaneous approximationen
dc.subject.otherHermite-Pade approximationen
dc.subject.otherRate of convergenceen
dc.subject.otherInverse resultsen
dc.subject.otherConvergenceen
dc.titleDirect and inverse results on row sequences of simultaneous Pade-Faber approximantsen
dc.typeresearch article*
dc.type.hasVersionAM*
dspace.entity.typePublication
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