Abel Díaz-González

most citedSequentially-ordered Sobolev inner product and Laguerre-Sobolev polynomials

2 citations · 2 across the 2 of their papers we have counts for

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math.CA2023

Electrostatic models for zeros of Laguerre-Sobolev polynomials

Abel Díaz-González, Héctor Pijeira-Cabrera, Javier Quintero-Roba

Let { ${S_{n}}_{n ⩾ 0}$ } 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…

math.CA2023★ 2 cited

Sequentially-ordered Sobolev inner product and Laguerre-Sobolev polynomials

Abel Díaz-González, Juan Hernández, Héctor Pijeira-Cabrera

We study the sequence of polynomials ${S_{n}}_{n \geq 0}$ that are orthogonal with respect to the general discrete Sobolev-type inner product $$ \langle f,g \rangle_{\mathsf{s}}=\!\…

math.CA2019

Discrete-Continuous Jacobi-Sobolev Spaces and Fourier Series

Abel Díaz-González, Francisco Marcellán-Español, Héctor Pijeira-Cabrera +1

Let $p \geq 1$ , $\ell\in \NN$, $α, β > - 1$ and $\varpi=(ω_0,ω_1, \dots, ω_{\ell-1})\in \RR^{\ell}$. Given a suitable function $f$ , we define the discrete-continuous Jacobi-Sobolev norm…

math.CA2019

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 ${S_{n}}_{n = 0}^{\infty}$ with respect to the Sobolev-type inner product $$\langle f,g \rangle= \int_{-1}^{1} f(x) g(x…