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From Standard Orthogonal Polynomials to Sobolev Orthogonal Polynomials: The Role of Semiclassical Linear Functionals
Cita
García Ardila, Juan Carlos 
ORCID: https://orcid.org/0000-0002-4386-3370, Marcellán, Francisco ORCID: https://orcid.org/0000-0003-4331-4475 and Marriaga Castillo, Misael E. ORCID: https://orcid.org/0000-0002-7106-8593
(2020).
From Standard Orthogonal Polynomials to Sobolev Orthogonal Polynomials: The Role of Semiclassical Linear Functionals.
En: "2nd AIMS-Volkswagen Stiftung Workshop, Douala, Cameroon, 5-12 October, 2018", 5-12 October 2018, Douala, Cameroon. ISBN 978-3-030-36743-5. pp. 245-292.
https://doi.org/10.1007/978-3-030-36744-2_13.
ORCID: https://orcid.org/0000-0002-4386-3370, Marcellán, Francisco ORCID: https://orcid.org/0000-0003-4331-4475 and Marriaga Castillo, Misael E. ORCID: https://orcid.org/0000-0002-7106-8593
(2020).
From Standard Orthogonal Polynomials to Sobolev Orthogonal Polynomials: The Role of Semiclassical Linear Functionals.
En: "2nd AIMS-Volkswagen Stiftung Workshop, Douala, Cameroon, 5-12 October, 2018", 5-12 October 2018, Douala, Cameroon. ISBN 978-3-030-36743-5. pp. 245-292.
https://doi.org/10.1007/978-3-030-36744-2_13.
Descripción
| Título: | From Standard Orthogonal Polynomials to Sobolev Orthogonal Polynomials: The Role of Semiclassical Linear Functionals |
|---|---|
| Autor/es: |
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| Tipo de Documento: | Ponencia en Congreso o Jornada (Artículo) |
| Título del Evento: | 2nd AIMS-Volkswagen Stiftung Workshop, Douala, Cameroon, 5-12 October, 2018 |
| Fechas del Evento: | 5-12 October 2018 |
| Lugar del Evento: | Douala, Cameroon |
| Título del Libro: | Orthogonal Polynomials : 2nd AIMS-Volkswagen Stiftung Workshop, Douala, Cameroon, 5-12 October, 2018 |
| Título de Revista/Publicación: | Tutorials, Schools, and Workshops in the Mathematical Sciences |
| Fecha: | 1 Agosto 2020 |
| ISBN: | 978-3-030-36743-5 |
| ISSN: | 25220969 |
| Materias: | |
| ODS: | |
| Palabras Clave Informales: | Discrete Darboux transformations; Orthogonal Polynomials; semi-classical functionals; Sobolev orthogonal polynomials |
| Escuela: | E.T.S.I. Industriales (UPM) |
| Departamento: | Ingeniería Civil: Hidráulica y Ordenación Del Territorio |
| Licencias Creative Commons: | Reconocimiento - Sin obra derivada - No comercial |
Resumen
In this contribution, we present an overview of standard orthogonal polynomials by using an algebraic approach. Discrete Darboux transformations of Jacobi matrices are studied. Next, we emphasize the role of semiclassical orthogonal polynomials as a basic background to analyze sequences of polynomials orthogonal with respect to a Sobolev inner product. Some illustrative examples are discussed. Finally, we summarize some results in multivariate Sobolev orthogonal polynomials.
Proyectos asociados
Tipo
Código
Acrónimo
Responsable
Título
Gobierno de España
MTM2015-65888- C4-2-P
Sin especificar
Sin especificar
ORTOGONALIDAD, TEORIA DE LA APROXIMACION Y APLICACIONES EN FISICA MATEMATICA
Más información
| ID de Registro: | 88660 |
|---|---|
| Identificador DC: | https://oa.upm.es/88660/ |
| Identificador OAI: | oai:oa.upm.es:88660 |
| URL Portal Científico: | https://portalcientifico.upm.es/es/ipublic/item/9926342 |
| Identificador DOI: | 10.1007/978-3-030-36744-2_13 |
| URL Oficial: | https://link.springer.com/book/10.1007/978-3-030-3... |
| Depositado por: | iMarina Portal Científico |
| Depositado el: | 07 Abr 2025 16:22 |
| Ultima Modificación: | 08 Abr 2025 14:06 |
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