1 citations · 2 across the 6 of their papers we have counts for
6 papers
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…
An explanation of the number or points and symmetries of starbursts
Sergio Barbero, Antonia M. Delgado, Lidia Fernández
Starbursts are the light intensity patterns seen when small bright sources are looked at night, typically stars. Starburst shapes are produced when the presence of the eye's wave a…
Multiple Orthogonal Polynomials of two real variables
Lidia Fernández, Juan Antonio Villegas
Polynomials known as Multiple Orthogonal Polynomials in a single variable are polynomials that satisfy orthogonality conditions concerning multiple measures and play a significant…
Compactly supported, orthogonal, continuous piecewise polynomial multiresolution analysis
Lidia Fernández, Jeffrey S. Geronimo, Plamen Iliev
We present explicit representations in terms of hypergeometric functions for the scaling functions in the orthogonal multiresolution analyses associated with piecewise contin…