On the convergence of multi-level Hermite-Padé approximants

On the convergence of multi-level Hermite-Padé approximants

In the present paper we prove a Stieltjes type theorem on the convergence of a sequence of rational functions associated with a mixed type Hermite-Padé approximation problem of a Nikishin system of functions and analyze the ratio asymptotic of the corresponding Hermite-Padé polynomials.

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Veröffentlicht in:arXiv.org 2021-06
Hauptverfasser: González Ricardo, L G, G López Lagomasino, S Medina Peralta
Format: Artikel
Sprache:eng
Schlagworte:
Convergence
Hermite polynomials
Mathematical analysis
Pade approximation
Rational functions
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Zusammenfassung:In the present paper we prove a Stieltjes type theorem on the convergence of a sequence of rational functions associated with a mixed type Hermite-Padé approximation problem of a Nikishin system of functions and analyze the ratio asymptotic of the corresponding Hermite-Padé polynomials.
ISSN:2331-8422
DOI:10.48550/arxiv.2106.11370