2 citations · 2 across the 2 of their papers we have counts for
5 papers
Electrostatic models for zeros of Laguerre-Sobolev polynomials
Abel Díaz-González, Héctor Pijeira-Cabrera, Javier Quintero-Roba
Let {} be the sequence of orthogonal polynomials with respect to the Laguerre-Sobolev inner product $$ \langle f,g\rangle_S =\!\int_{0}^{+\infty}\! f(x) g(x…
Sequentially-ordered Sobolev inner product and Laguerre-Sobolev polynomials
Abel Díaz-González, Juan Hernández, Héctor Pijeira-Cabrera
We study the sequence of polynomials that are orthogonal with respect to the general discrete Sobolev-type inner product $$ \langle f,g \rangle_{\mathsf{s}}=\!\…
Polynomials of least deviation from zero in Sobolev -norm
Abel Díaz-González, Héctor Pijeira-Cabrera, Javier Quintero-Roba
The first part of this paper complements previous results on characterization of polynomials of least deviation from zero in Sobolev -norm () for the case . Som…
Discrete-Continuous Jacobi-Sobolev Spaces and Fourier Series
Abel Díaz-González, Francisco Marcellán-Español, Héctor Pijeira-Cabrera +1
Let , $\ell\in \NN$, and $\varpi=(ω_0,ω_1, \dots, ω_{\ell-1})\in \RR^{\ell}$. Given a suitable function , we define the discrete-continuous Jacobi-Sobolev norm…
Rational Approximation and Sobolev-type Orthogonality
Abel Díaz-González, Héctor Pijeira-Cabrera, Ignacio Pérez-Yzquierdo
In this paper, we study the sequence of orthogonal polynomials with respect to the Sobolev-type inner product $$\langle f,g \rangle= \int_{-1}^{1} f(x) g(x…