Higher-order recurrence relations, Sobolev-type inner products and matrix factorizations

C Hermoso, EJ Huertas, A Lastra, F Marcellán - Numerical Algorithms, 2023 - Springer
It is well known that Sobolev-type orthogonal polynomials with respect to measures
supported on the real line satisfy higher-order recurrence relations and these can be …

Sobolev orthogonal polynomials: Connection formulae

RS Costas-Santos - arXiv preprint arXiv:2310.12312, 2023 - arxiv.org
This contribution aims to obtain several connection formulae for the polynomial sequence,
which is orthogonal with respect to the discrete Sobolev inner product\[\langle f …

On Polynomials Orthogonal with Respect to an Inner Product Involving Higher-Order Differences: The Meixner Case

RS Costas-Santos, A Soria-Lorente, JM Vilaire - Mathematics, 2022 - mdpi.com
In this contribution we consider sequences of monic polynomials orthogonal with respect to
the Sobolev-type inner product f, g=〈 u M, fg〉+ λ T jf (α) T jg (α), where u M is the Meixner …

A Cohen type inequality for Laguerre--Sobolev expansions with a mass point outside their oscillatory regime

EJH CEJUDO, F ESPANOL… - Turkish Journal of …, 2014 - journals.tubitak.gov.tr
Let consider the Sobolev type inner product\langle f, g\rangle_S=\int_0^{\infty} f (x) g (x)
d\mu (x)+ Mf (c) g (c)+ Nf^{\prime}(c) g^{\prime}(c), where d\mu (x)= x^{\alpha} e^{-x} …

[HTML][HTML] Asymptotic behavior of the partial derivatives of Laguerre kernels and some applications

F Marcellán, MF Pérez-Valero, Y Quintana - Journal of Mathematical …, 2015 - Elsevier
The aim of this paper is to present some new results about the asymptotic behavior of the
partial derivatives of the kernel polynomials associated with the Gamma distribution. We …

[PDF][PDF] Representaciones hipergeométricas de algunos polinomios modificados o de tipo Sobolev

AS Lorente, AMC Fajardo, ERM Roque… - Lecturas …, 2018 - dialnet.unirioja.es
Representaciones hipergeométricas de algunos polinomios modificados o de tipo Sobolev
Page 1 Lecturas Matemáticas Volumen 39 (1) (2018), páginas 13-24 ISSN 0120-1980 …

[PDF][PDF] On analytic properties of Meixner-Sobolev orthogonal polynomials of higher order difference operators

A Soria-Lorente, JM Vilaire, A d'Haıti… - arXiv preprint arXiv …, 2018 - researchgate.net
arXiv:1804.02046v1 [math.CA] 2 Apr 2018 Page 1 arXiv:1804.02046v1 [math.CA] 2 Apr 2018
On analytic properties of Meixner-Sobolev orthogonal polynomials of higher order difference …

[PDF][PDF] Fourier series and orthogonal polynomials in Sobolev spaces

MFP Valero - 2015 - e-archivo.uc3m.es
In the last 30 years, the study of orthogonal polynomials in Sobolev spaces has obtained an
increasing attention from the research community. The first work on Sobolev orthogonal …