Higher-order recurrence relations, Sobolev-type inner products and matrix factorizations
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 expressed as a (2N + 1)-banded symmetric semi-infinite matrix. In this paper, we state the connection between these (2N + 1)-banded...
| Autores: | , , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2022 |
| País: | España |
| Institución: | Universidad de Alcalá (UAH) |
| Repositorio: | e_Buah Biblioteca Digital Universidad de Alcalá |
| Idioma: | inglés |
| OAI Identifier: | oai:ebuah.uah.es:10017/55237 |
| Acceso en línea: | http://hdl.handle.net/10017/55237 https://dx.doi.org/10.1007/s11075-022-01402-y |
| Access Level: | acceso abierto |
| Palabra clave: | Orthogonal polynomials Sobolev-type orthogonal polynomials Jacobi matrices Five diagonal matrices Recurrence relations Laguerre polynomials Matemáticas Mathematics |
| Sumario: | 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 expressed as a (2N + 1)-banded symmetric semi-infinite matrix. In this paper, we state the connection between these (2N + 1)-banded matrices and the Jacobi matrices associated with the three-term recurrence relation satisfied by the standard sequence of orthonormal polynomials with respect to the 2-iterated Christoffel transformation of the measure. |
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