1 citations · 2 across the 6 of their papers we have counts for
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A method for generating multivariate multiple orthogonal polynomials
Lidia Fernández, Juan Antonio Villegas
In the framework of multiple orthogonal polynomials (MOPs) and their extension to the multivariate setting, a unified mechanism for generating structured families of multiple ortho…
A mixed interpolation-regression method for function approximation on certain planar domains
Ruymán Cruz-Barroso, Lidia Fernández, Francisco Marcellán +1
In this contribution, we introduce a mixed interpolation-regression operator for functions defined on certain planar domains. We focus on an ellipse, an annulus and a polygon. An u…
A mixed interpolation-regression method for numerical integration on the unit circle using zeros of para-orthogonal polynomials
Ruymán Cruz-Barroso, Lidia Fernández, Francisco Marcellán
A new alternative numerical procedure to the Szegő quadrature formulas for the estimation of integrals with respect to a positive Borel measure supported on the unit circle is…
A Rodrigues Formula for Multiple Orthogonal Polynomials on the Simplex
Lidia Fernández, Ana Foulquié-Moreno, Juan Antonio Villegas
Rodrigues formulas play a central role in the construction of orthogonal polynomials associated with classical measures. In this paper, we introduce a family of multivariate multip…