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arXiv · 1307.0213

On the convergence of type I Hermite-Padé approximants

G. López Lagomasino·S. Medina Peralta
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Abstract

Padé approximation has two natural extensions to vector rational approximation through the so called type I and type II Hermite-Padé approximants. The convergence properties of type II Hermite-Padé approximants have been studied. For such approximants Markov and Stieltjes type theorems are available. To the present, such results have not been obtained for type I approximants. In this paper, we provide Markov and Stieltjes type theorems on the convergence of type I Hermite-Padé approximants for Nikishin systems of functions.

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G. López Lagomasino, S. Medina Peralta. 2013-06-30. On the convergence of type I Hermite-Padé approximants. https://arxiv.org/abs/1307.0213

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