3 papers
math.NA2026
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…
math.NA2026
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…
math.NA2021
Zeros of quasi-paraorthogonal polynomials and positive quadrature
Adhemar Bultheel, Ruymán Cruz-Barroso, Carlos Díaz Mendoza
In this paper we illustrate that paraorthogonality on the unit circle is the counterpart to orthogonality on when we are interested in the spectral proper…