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Direct and inverse results for multipoint Hermite-Padé 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.authorZaldivar Gerpe, Yanely
dc.contributor.funderMinisterio de Economía y Competitividad (España)es
dc.date.accessioned2023-09-11T10:45:01Z
dc.date.available2023-09-11T10:45:01Z
dc.date.issued2019-06
dc.descriptionSpecial Issue: Complex Analysis, Potential Theory and Applicationsen
dc.description.abstractGiven a system of functions f = ( f1,..., fd ) analytic on a neighborhood of some compact subset E of the complex plane with simply connected complement in the extended complex plane, we give necessary and sufficient conditions for the convergence with geometric rate of the common denominators of row sequences of multipoint Hermite–Padé approximants under a general extremal condition on the table of interpolation points. The exact rate of convergence of these denominators is provided and the rate of convergence of the simultaneous approximants is estimated. These results allow us to detect the location of the poles of the system of functions which are in some sense closest to E.en
dc.description.sponsorshipThe research of N. 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. The research of G. López Lagomasino and Y. Zaldivar Gerpe received support from Research Grant MTM 2015-65888-C4-2-P of Ministerio de Economía, Industria y Competitividad, Spain.en
dc.format.extent19
dc.identifier.bibliographicCitationBosuwan, N., López Lagomasino, G., & Zaldivar Gerpe, Y. (2019). Direct and inverse results for multipoint Hermite–Padé approximants. Analysis and Mathematical Physics, 9(2), 761–779.en
dc.identifier.doihttps://doi.org/10.1007/s13324-019-00316-8
dc.identifier.issn1664-2368
dc.identifier.publicationfirstpage761
dc.identifier.publicationissue2
dc.identifier.publicationlastpage779
dc.identifier.publicationtitleAnalysis and Mathematical Physicsen
dc.identifier.publicationvolume9
dc.identifier.urihttps://hdl.handle.net/10016/38290
dc.identifier.uxxiAR/0000025083
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.otherHermite-Padé approximationen
dc.subject.otherInverse type resultsen
dc.subject.otherMontessus de Ballore theoremen
dc.subject.otherMultipoint Padé approximationen
dc.titleDirect and inverse results for multipoint Hermite-Padé approximantsen
dc.typeresearch article*
dc.type.hasVersionAM*
dspace.entity.typePublication
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