10 citations · 16 across the 9 of their papers we have counts for
9 papers
Sobolev extremal polynomials with respect to mutually singular measures
A. Diaz Gonzalez, G. Lopez Lagomasino, H. Pijeira Cabrera
We consider extremal polynomials with respect to a Sobolev-type -norm, with and measures supported on compact subsets of the real line. For a wide class of such ext…
Inverse results on row sequences of Hermite-Padé approximation
G. López Lagomasino, Y. Zaldivar Gerpe
We consider row sequences of (type II) Hermite-Padé approximations with common denominator associated with a vector of formal power expansions about the origin. In terms…
Nikishin systems on star-like sets: Ratio asymptotics of the associated multiple orthogonal polynomials
Abey López-García, Guillermo López Lagomasino
We investigate the ratio asymptotic behavior of the sequence of multiple orthogonal polynomials associated with a Nikishin system of measures tha…
Determining system poles using row sequences of orthogonal Hermite-Padé approximants
Nattapong Bosuwan, G. López Lagomasino
Given a system of functions analytic on a neighborhood of some compact subset of the complex plane with simply connected complement, we…
Inverse Theorem on Row Sequences of Linear Padé-orthogonal Approximation
N. Bosuwan, G. López Lagomasino
We give necessary and sufficient conditions for the convergence with geometric rate of the denominators of linear Padé-orthogonal approximants corresponding to a measure supported…
Nikishin systems are perfect
U. Fidalgo Prieto, G. Lopez Lagomasino
K. Mahler introduced the concept of perfect systems in the general theory he developed for the simultaneous Hermite-Pade approximation of analytic functions. We prove that Nikishin…
Computation of conformal representations of compact Riemann surfaces
Guillermo Lopez Lagomasino, Domingo Pestana, Jose M. Rodriguez +1
We find a system of two polynomial equations in two unknowns, whose solution allows to give an explicit expression of the conformal representation of a simply connected three sheet…
Mixed type multiple orthogonal polynomials for two Nikishin systems
U. Fidalgo Prieto, A. López García, G. López Lagomasino +1
We study the logarithmic and ratio asymptotic of linear forms constructed from a Nikishin system which satisfy orthogonality conditions with respect to a system of measures generat…
Relative Asymptotic of Multiple Orthogonal Polynomials for Nikishin Systems
Abey López García, Guillermo López Lagomasino
We prove relative asymptotic for the ratio of two sequences of multiple orthogonal polynomials with respect to Nikishin system of measures. The first Nikishin system ${\mathcal{N}}…