Publication: Continuous symmetrized Sobolev inner products of order N (I)
dc.affiliation.dpto | UC3M. Departamento de Matemáticas | es |
dc.affiliation.grupoinv | UC3M. Grupo de Investigación: Análisis Aplicado | es |
dc.contributor.author | Bueno Cachadiña, María Isabel | |
dc.contributor.author | Marcellán Español, Francisco José | |
dc.contributor.author | Sánchez Ruiz, Jorge | |
dc.date.accessioned | 2009-12-04T09:28:10Z | |
dc.date.available | 2009-12-04T09:28:10Z | |
dc.date.issued | 2005-06-01 | |
dc.description | 14 pages, no figures.-- MSC2000 codes: 42C05 | |
dc.description | MR#: MR2132890 (2005k:42068) | |
dc.description | Zbl#: Zbl 1076.42017 | |
dc.description.abstract | Given a symmetrized Sobolev inner product of order N, the corresponding sequence of monic orthogonal polynomials {Qn} satisfies that Q_2n(x)=Pn(x2), Q_2n+1(x)=xRn(x2) for certain sequences of monic polynomials {Pn} and {Rn}. In this paper, we deduce the integral representation of the inner products such that {Pn} and {Rn} are the corresponding sequences of orthogonal polynomials. Moreover, we state a relation between both inner products which extends the classical result for symmetric linear functionals. | |
dc.description.sponsorship | The work of the authors has been partially supported by Dirección General de Investigación (Ministerio de Ciencia y Tecnología) of Spain under grants BFM 2003-06335-C03-02 (M.I.B., F.M., J.S.R.) and BFM2001-3878-C02-01 (J.S.R.), NATO collaborative grant PST.CLG.979738 (M.I.B., F.M.), and the Junta de Andalucía research group FQM-0207 (J.S.R). | |
dc.description.status | Publicado | |
dc.format.mimetype | application/pdf | |
dc.identifier.bibliographicCitation | Journal of Mathematical Analysis and Applications, 2005, vol. 306, n. 1, p. 83-96 | |
dc.identifier.doi | 10.1016/j.jmaa.2004.11.052 | |
dc.identifier.issn | 0022-247X | |
dc.identifier.uri | https://hdl.handle.net/10016/5946 | |
dc.language.iso | eng | |
dc.publisher | Elsevier | |
dc.relation.publisherversion | http://dx.doi.org/10.1016/j.jmaa.2004.11.052 | |
dc.rights | © Elsevier | |
dc.rights.accessRights | open access | |
dc.subject.eciencia | Matemáticas | |
dc.subject.other | Sobolev inner product | |
dc.subject.other | Orthogonal polynomials | |
dc.subject.other | Symmetrization process | |
dc.title | Continuous symmetrized Sobolev inner products of order N (I) | |
dc.type | research article | * |
dc.type.review | PeerReviewed | |
dspace.entity.type | Publication |
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