Hermite-Padé approximation for certain systems of meromorphic functions

Hermite-Padé approximation for certain systems of meromorphic functions

We study the convergence of sequences of type I and type II Hermite-Padé approximants for certain systems of meromorphic functions made up of rational modifications of Nikishin systems of functions. Bibliography: 32 titles.

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Veröffentlicht in:Sbornik. Mathematics 2015-01, Vol.206 (2), p.225-241, Article 225
Hauptverfasser: Lagomasino, G. López, Peralta, S. Medina, Prieto, U. Fidalgo
Format: Artikel
Sprache:eng
Schlagworte:
Approximants
Approximation
Convergence
Functions (mathematics)
Hermite-Padé approximation
Mathematical analysis
Meromorphic functions
Nikishin systems
Sequences
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Beschreibung
Zusammenfassung:We study the convergence of sequences of type I and type II Hermite-Padé approximants for certain systems of meromorphic functions made up of rational modifications of Nikishin systems of functions. Bibliography: 32 titles.
ISSN:1064-5616
1468-4802
DOI:10.1070/SM2015v206n02ABEH004456