8 citations · 19 across the 13 of their papers we have counts for
18 papers
Symmetric Jacobi Polynomials on a Triangle and Their Spectral Algebra
Misael E. Marriaga, Miguel A. Piñar
We study a family of symmetric orthogonal polynomials on the unit triangle associated with the weight \[ w_{α,γ,κ}(x,y) = (xy)^α(1-x-y)^γ|x-y|^{2κ+1}, \quad α,γ,κ>-1,\quad α+κ>-\fr…
Lax-type pairs in the theory of bivariate orthogonal polynomials
Amílcar Branquinho, Ana Foulquié-Moreno, Teresa E. Pérez +1
Sequences of bivariate orthogonal polynomials written as vector polynomials of increasing size satisfy a couple of three term relations with matrix coefficients. In this work, intr…
Sobolev orthogonal polynomials on the conic surface
Lidia Fernandez, Teresa Perez, Miguel Pinar +1
Orthogonal polynomials with respect to the weight function , , on the conic surface are st…
Asymptotic behaviour of the Christoffel functions on the Unit Ball in the presence of a Mass on the Sphere
Clotilde Martínez, Miguel A. Piñar
We present a family of mutually orthogonal polynomials on the unit ball with respect to an inner product which includes a mass uniformly distributed on the sphere. First, connectio…
Best polynomial approximation on the unit ball
Miguel Pinar, Yuan Xu
Let be the error of best approximation by polynomials of degree at most in the space , where is the unit ball in $\mathbb…
Three term relations for a class of bivariate orthogonal polynomials
Misael Marriaga, Teresa E. Pérez, Miguel A. Piñar
We study matrix three term relations for orthogonal polynomials in two variables constructed from orthogonal polynomials in one variable. Using the three term recurrence relation f…