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arXiv · 2106.11370

On the convergence of multi-level Hermite-Pad\'e approximants

L. G. González Ricardo·G. López Lagomasino·S. Medina Peralta
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Abstract

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-Pad\'e approximation problem of a Nikishin system of functions and analyze the ratio asymptotic of the corresponding Hermite-Pad\'e polynomials.

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L. G. González Ricardo, G. López Lagomasino, S. Medina Peralta. 2021-06-21. On the convergence of multi-level Hermite-Pad\'e approximants. https://doi.org/10.1016/j.physd.2022.133487

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