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Eigenvalue Problem for Discrete Jacobi Sobolev Orthogonal Polynomials
dc.contributor.author | Mañas Mañas, Juan Francisco | |
dc.contributor.author | Moreno Balcázar, Juan José | |
dc.contributor.author | Wellman, Richard | |
dc.date.accessioned | 2024-02-05T10:38:25Z | |
dc.date.available | 2024-02-05T10:38:25Z | |
dc.date.issued | 2020-02 | |
dc.identifier.issn | 2227-7390 | |
dc.identifier.uri | http://hdl.handle.net/10835/15748 | |
dc.description.abstract | In this paper we consider a discrete Sobolev inner product involving the Jacobi weight with a twofold objective. On the one hand, since the orthonormal polynomials with respect to this inner product are eigenfunctions of a certain differential operator, we are interested in the corresponding eigenvalues, more exactly, in their asymptotic behavior. Thus, we can determine a limit value which links this asymptotic behavior and the uniform norm of the orthonormal polynomials in a logarithmic scale. This value appears in the theory of reproducing kernel Hilbert spaces. On the other hand, we tackle a more general case than the one considered previously. | es_ES |
dc.language.iso | en | es_ES |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.source | Juan F. Mañas-Mañas, Juan J. Moreno-Balcázar, Richard Wellman. Eigenvalue Problem for Discrete Jacobi Sobolev Orthogonal Polynomials Mathematics 8 (2) (2020), Art. 182. | es_ES |
dc.subject | Mathematics | es_ES |
dc.subject | Sobolev orthogonal polynomials | es_ES |
dc.subject | Jacobi weight | es_ES |
dc.subject | Asymptotics | es_ES |
dc.title | Eigenvalue Problem for Discrete Jacobi Sobolev Orthogonal Polynomials | es_ES |
dc.type | info:eu-repo/semantics/article | es_ES |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es_ES |
dc.relation.projectID | Grant MTM2017-89941-P, grant UAL18-FQM-B025-A and grant SOMM17/6105/UGR. | es_ES |