Francisco Marcellán

collaborators

3 papers

math.CA2025

A class of Truncated Freud polynomials

Juan Carlos GarcÃa-Ardila, Francisco MarcellÃ¡n, Misael E. Marriaga

Consider the following truncated Freud linear functional $u_{z}$ depending on a parameter $z$ , $⟨ u_{z}, p ⟩ = \int_{0}^{\infty} p (x) e^{- z x^{4}} d x, z > 0.$ The…

math.NA2025

A novel interpolation-regression approach for function approximation on the disk and its application to cubature formulas

Francesco Dell'Accio, Francisco MarcellÃ¡n, Federico Nudo

The interpolation-regression approximation is a powerful tool in numerical analysis for reconstructing functions defined on square or triangular domains from their evaluations at a…

math.CA2024

Symmetric Truncated Freud polynomials

Edmundo J. Huertas, Alberto Lastra, Francisco MarcellÃ¡n +1

We define the family of symmetric truncated Freud polynomials $P_{n} (x; z)$ , orthogonal with respect to the linear functional $u$ defined by \begin{equation*} \langle \mathbf…