3 papers
math.CA2022
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…
math.CA2022
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…
math.CA2006
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…