R. Cruz-barroso

collaborators

3 papers

math.NA2026

A mixed interpolation-regression method for function approximation on certain planar domains

RuymÃ¡n Cruz-Barroso, Lidia FernÃ¡ndez, Francisco MarcellÃ¡n +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

RuymÃ¡n Cruz-Barroso, Lidia FernÃ¡ndez, Francisco MarcellÃ¡n

A new alternative numerical procedure to the SzegÅ quadrature formulas for the estimation of integrals with respect to a positive Borel measure $I^¼$ supported on the unit circle i…

math.NA2024

Orthogonal Laurent polynomials of two real variables

RuymÃ¡n Cruz-Barroso, Lidia FernÃ¡ndez

In this paper we consider an appropriate ordering of the Laurent monomials $x^{i} y^{j}$ , $i, j \in Z$ that allows us to study sequences of orthogonal Laurent polynomials of…