12 papers
A class of Truncated Freud polynomials
Juan Carlos García-Ardila, Francisco Marcellán, Misael E. Marriaga
Consider the following truncated Freud linear functional depending on a parameter , The…
A novel interpolation-regression approach for function approximation on the disk and its application to cubature formulas
Francesco Dell'Accio, Francisco Marcellán, 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…
Symmetric Truncated Freud polynomials
Edmundo J. Huertas, Alberto Lastra, Francisco Marcellán +1
We define the family of symmetric truncated Freud polynomials , orthogonal with respect to the linear functional defined by \begin{equation*} \langle \mathbf…
Constrained mock-Chebyshev least squares approximation for Hermite interpolation
Francesco Dell'Accio, Francisco Marcellán, Federico Nudo
This paper addresses the challenge of function approximation using Hermite interpolation on equally spaced nodes. In this setting, standard polynomial interpolation suffers from th…
Dunkl symmetric coherent pairs of measures. An application to Fourier Dunkl-Sobolev expansions
Mabrouk Sghaier, Francisco Marcellán
Let be the Dunkl operator. A pair of symmetric measures supported on a symmetric subset of the real line is said to be a symmetric Dunkl-coherent pair if t…
Recovering orthogonality from quasi-nature of Spectral transformations
Vikash Kumar, Francisco Marcellán, A. Swaminathan
In this contribution, quasi-orthogonality of polynomials generated by Geronimus and Uvarov transformations is analyzed. An attempt is made to discuss the recovery of the source ort…
Generalized Gauss-Rys orthogonal polynomials
Juan C. García-Ardila, Francisco Marcellán
Let be the sequence of monic orthogonal polynomials with respect to the symmetric linear functional defined by $$\langle\mathbf{s},p\rangle=\i…
A note on Laguerre truncated polynomials and quadrature formula
Juan C. García-Ardila, Francisco Marcellán
In this contribution we deal with Gaussian quadrature rules based on orthogonal polynomials associated with a weight function supported on an interval , $…
Uvarov Perturbations for Matrix Orthogonal Polynomials
Gerardo Ariznabarreta, Juan C. García-Ardila, Manuel Mañas +1
Additive perturbations, specifically, matrix Uvarov transformations for matrix orthogonal polynomials, are under consideration. Christoffel-Uvarov formulas are deduced for the pert…
Symmetrization process and truncated orthogonal polynomials
Diego Dominici, Juan C. García-Ardila, Francisco Marcellán
We define the family of truncated Laguerre polynomials , orthogonal with respect to the linear functional defined by $$\langle{\ell,p\rangle}=\int_{0}^zp(x)x^αe^{-…
Bispectrality for Matrix Laguerre-Sobolev polynomials
Francisco Marcellán, Ignacio Zurrián
In this contribution we deal with sequences of polynomials orthogonal with respect to a Sobolev type inner product. A banded symmetric operator is associated with such a sequence o…
Linear functionals and - coherent pairs of the second kind
Diego Dominici, Francisco Marcellán
We classify all the \emph{-}coherent pairs of measures of the second kind on the real line. We obtain cases, corresponding to all the families of discrete semiclassical orth…