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arXiv · 2002.06194

Logarithmic asymptotic of multi-level Hermite-Pad\'e polynomials

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

We study the logarihtnmic asymptotic of multiple orthogonal polynomials arising in a mixed type Hermite-Pad\'e approximation problem associated with the rational perturbation of a Nikishin system of functions. The formulas obtained allow to give exact estimates of the rate of convergence of the corresponding Hermite-Pad\'e approximants.

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L. G. González Ricardo, G. López Lagomasino, S. Medina Peralta. 2020-02-13. Logarithmic asymptotic of multi-level Hermite-Pad\'e polynomials. https://arxiv.org/abs/2002.06194

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