2 citations · 4 across the 3 of their papers we have counts for
6 papers
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…
An introduction to multiple orthogonal polynomials and Hermite-Padé approximation
G. López Lagomasino
We present a brief introduction to the theory of multiple orthogonal polynomials on the basis of known results for an important class of measures known as Nikishin systems. For typ…
Direct and Inverse Results for Multipoint Hermite-Pade Approximants
N. Bosuwan, G. Lopez Lagomasino, Y. Zaldivar Gerpe
Given a system of functions f = (f1, . . . , fd) analytic on a neighborhood of some compact subset E of the complex plane, we give necessary and sufficient conditions for the conve…
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…
Direct and inverse results on row sequences of simultaneous Padé-Faber approximants
N. Bosuwan, G. López Lagomasino
Given a vector function analytic on a neighborhood of some compact subset of the complex plane with simply connected complement, we define a sequenc…
On row sequences of Padé and Hermite-Padé approximation
Guillermo López Lagomasino
A survey of direct and inverse type results for row sequences of Padé and Hermite-Padé approximation is given. A conjecture is posed on an inverse type result for type II Hermite-P…