Mixed type Hermite-Padé approximation inspired by the Degasperis-Procesi equation

G. López Lagomasino; S. Medina Peralta; J. Szmigielski

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arXiv · 1805.02195

Mixed type Hermite-Padé approximation inspired by the Degasperis-Procesi equation

G. López Lagomasino·S. Medina Peralta·J. Szmigielski

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Abstract

In this work we present new results on the convergence of diagonal sequences of certain mixed type Hermite-Padé approximants of a Nikishin system. The study is motivated by a mixed Hermite-Padé approximation scheme used in the construction of solutions of a Degasperis-Procesi peakon problem and germane to the analysis of the inverse spectral problem for the discrete cubic string.

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G. López Lagomasino, S. Medina Peralta, J. Szmigielski. 2018-05-06. Mixed type Hermite-Padé approximation inspired by the Degasperis-Procesi equation. https://arxiv.org/abs/1805.02195

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