Abel Díaz-González

collaborators

2 papers

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…