8 citations · 8 across the 5 of their papers we have counts for
6 papers
Two variable Freud orthogonal polynomials and matrix Painlevé-type difference equations
Cleonice F. Bracciali, Glalco S. Costa, Teresa E. Pérez
We study bivariate orthogonal polynomials associated with Freud weight functions depending on real parameters. We analyze relations between the matrix coefficients of the three ter…
A class of Bernstein-type operators on the unit disk
Marlon J. Recarte, Misael E. Marriaga, Teresa E. Pérez
We construct and study sequences of linear operators of Bernstein-type acting on bivariate functions defined on the unit disk. To this end, we study Bernstein-type operators under…
Quadratic decomposition of bivariate orthogonal polynomials
Amílcar Branquinho, Ana Foulquié Moreno, Teresa E. Pérez
We describe bivariate polynomial sequences orthogonal to a symmetric weight function in terms of several bivariate polynomial sequences orthogonal with respect to Christoffel trans…
Multivariate Orthogonal Polynomials and Modified Moment Functionals
Antonia M. Delgado, Lidia Fernández, Teresa E. Pérez +1
Multivariate orthogonal polynomials can be introduced by using a moment functional defined on the linear space of polynomials in several variables with real coefficients. We study…
Sobolev orthogonal polynomials on the unit ball via outward normal derivatives
Antonia M. Delgado, Lidia Fernández, Doron Lubinsky +2
We analyse a family of mutually orthogonal polynomials on the unit ball with respect to an inner product which involves the outward normal derivatives on the sphere. Using their re…
A semiclassical perspective on multivariate orthogonal polynomials
M. Alvarez de Morales, L. Fernández, T. E. Pérez +1
Differential properties for orthogonal polynomials in several variables are studied. We consider multivariate orthogonal polynomials whose gradients satisfy some quasi--orthogonali…