On the convergence of multi-level Hermite-Pad\'e approximants
Classical Analysis and ODEs
2022-08-31 v1
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.
Keywords
Cite
@article{arxiv.2106.11370,
title = {On the convergence of multi-level Hermite-Pad\'e approximants},
author = {L. G. González Ricardo and G. López Lagomasino and S. Medina Peralta},
journal= {arXiv preprint arXiv:2106.11370},
year = {2022}
}
Comments
24 pages