H. Pijeira-Cabrera

activity

20132026

most citedDifferential properties of Jacobi-Sobolev polynomials and electrostatic interpretation

4 citations · 6 across the 5 of their papers we have counts for

collaborators

9 papers

math.CA2026

Asymptotic for orthogonal polynomials with respect to a rational modification of a measure supported on the semi-axis

C. Féliz-Sánchez, H. Pijeira-Cabrera, J. Quintero-Roba

Given a sequence of orthogonal polynomials ${L_{n}}_{n = 0}^{\infty}$ , orthogonal with respect to a positive Borel $ν$ measure supported on $R_{+}$ , let ${Q_{n}}_{n = 0}^{\infty}$ b…

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★ 4 cited

Differential properties of Jacobi-Sobolev polynomials and electrostatic interpretation

Héctor Pijeira-Cabrera, Javier Quintero-Roba, Juan Toribio-Milane

We study the sequence of monic polynomials ${S_{n}}_{n ⩾ 0}$ , orthogonal with respect to the Jacobi-Sobolev inner {product} \;$$ \langle f,g\rangle_{\mathsf{s}}= \int_{-1}^{…

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.CA2022

Hessenberg-Sobolev Matrices and Favard type theorems

Hector Pijeira-Cabrera, Laura Decalo-Salgado, Ignacio Perez-Yzquierdo

We study the relation between certain non-degenerate lower Hessenberg infinite matrices $G$ and the existence of sequences of orthogonal polynomials with respect to Sobol…

math.CV2021

Polynomials of least deviation from zero in Sobolev $p$ -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 $p$ -norm ( $1 < p < \infty$ ) for the case $p = 1$ . Som…

math.CA2019

Iterated integrals and Borwein-Chen-Dilcher polynomials

Manuel Bello-Hernández, Héctor Pijeira-Cabrera, Daniel Rivero-Castillo

We study the zero location and the asymptotic behavior of iterated integrals of polynomials. Borwein-Chen-Dilcher's polynomials play an important role in this issue. For these poly…

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.CA2013

Orthogonality with respect to a Jacobi differential operator and applications

Jorge Alberto Borrego-Morell, Héctor Pijeira Cabrera

In this manuscript we study algebraic and analytic properties of the sequence of monic polynomials orthogonal with respect to a Jacobi differential operator. A fluid dynamics model…