13 citations · 16 across the 8 of their papers we have counts for
11 papers
Polynomial interpolation--regression on the sphere
Francesco Dell'Accio, Federico Nudo, Teresa E. Pérez +1
We introduce an interpolation--regression operator for polynomial approximation on the unit sphere from discrete samples. The approximant is a spherical polynomial o…
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…
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…
Matrix Pearson equations satisfied by Koornwinder weights in two variables
Francisco Marcellán, Misael E. Marriaga, Teresa E. Pérez +1
We consider Koornwinder's method for constructing orthogonal polynomials in two variables from orthogonal polynomials in one variable. If semiclassical orthogonal polynomials in on…
Sobolev orthogonal polynomials on product domains
L. Fernández, F. Marcellán, T. E. Pérez +2
Orthogonal polynomials on the product domain with respect to the inner product $$ \langle f,g \rangle_S = \int_{a_1}^{b_1} \int_{a_2}^{b_2} \nabla f(x,…
A class of orthogonal functions given by a three term recurrence formula
Cleonice F. Bracciali, John H. McCabe, Teresa E. Pérez +1
The main goal in this manuscript is to present a class of functions satisfying a certain orthogonality property for which there also exists a three term recurrence formula. This cl…