English

Mixed type Hermite-Pad\'e approximation inspired by the Degasperis-Procesi equation

Complex Variables 2018-05-08 v1

Abstract

In this work we present new results on the convergence of diagonal sequences of certain mixed type Hermite-Pad\'e approximants of a Nikishin system. The study is motivated by a mixed Hermite-Pad\'e 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.

Cite

@article{arxiv.1805.02195,
  title  = {Mixed type Hermite-Pad\'e approximation inspired by the Degasperis-Procesi equation},
  author = {G. López Lagomasino and S. Medina Peralta and J. Szmigielski},
  journal= {arXiv preprint arXiv:1805.02195},
  year   = {2018}
}

Comments

22 pages

R2 v1 2026-06-23T01:46:20.063Z