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20132021
most citedMixed type Hermite-Padé approximation inspired by the Degasperis-Procesi equation

4 citations · 17 across the 7 of their papers we have counts for

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7 papers

math.CA2021★ 4 cited

On the convergence of multi-level Hermite-Padé approximants

L. G. González Ricardo, G. López Lagomasino, S. Medina Peralta

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-Padé approximation problem of a N…

math.CA2020★ 2 cited

Logarithmic asymptotic of multi-level Hermite-Padé polynomials

L. G. González Ricardo, G. López Lagomasino, S. Medina Peralta

We study the logarihtnmic asymptotic of multiple orthogonal polynomials arising in a mixed type Hermite-Padé approximation problem associated with the rational perturbation of a Ni…

math.CV2020★ 3 cited

On the convergence of multi-level Hermite-Padé approximants for a class of meromorphic functions

L. G. González Ricardo, G. López Lagomasino, S. Medina Peralta

The present paper deals with the convergence properties of multi-level Hermite-Padé approximants for a class of meromorphic functions given by rational perturbations with real coef…

math.CV2018★ 4 cited

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

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

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…

math.CV2014

On the convergence of type I Hermite-Padé approximants for a class of meromorphic functions

G. López Lagomasino, S. Medina Peralta

We study the convergence of type I Hermite-Padé approximation for a class of meromorphic functions obtained by adding a vector of rational functions with real coefficients to a Nik…

math.CV2013★ 3 cited

Hermite-Padé approximation for certain systems of meromorphic functions

U. Fidalgo Prieto, G. López Lagomasino, S. Medina Peralta

We study the convergence of sequences of type I and type II Hermite-Padé approximants for certain systems of meromorphic functions made up of rational modifications of Nikishin sys…

math.CV2013★ 1 cited

On the convergence of type I Hermite-Padé approximants

G. López Lagomasino, S. Medina Peralta

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 typ…