Publication: Lupaş-type inequality and applications to Markov-type inequalities in weighted Sobolev spaces
dc.affiliation.dpto | UC3M. Departamento de Matemáticas | es |
dc.affiliation.grupoinv | UC3M. Grupo de Investigación: Análisis Aplicado | es |
dc.contributor.author | Marcellán Español, Francisco José | |
dc.contributor.author | Rodríguez García, José Manuel | |
dc.contributor.funder | Ministerio de Economía y Competitividad (España) | es |
dc.contributor.funder | Agencia Estatal de Investigación (España) | es |
dc.date.accessioned | 2022-07-27T07:41:21Z | |
dc.date.available | 2022-07-27T07:41:21Z | |
dc.date.issued | 2021-04 | |
dc.description.abstract | Weighted Sobolev spaces play a main role in the study of Sobolev orthogonal polynomials. In particular, analytic properties of such polynomials have been extensively studied, mainly focused on their asymptotic behavior and the location of their zeros. On the other hand, the behavior of the Fourier-Sobolev projector allows to deal with very interesting approximation problems. The aim of this paper is twofold. First, we improve a wellknown inequality by Lupaş by using connection formulas for Jacobi polynomials with different parameters. In the next step, we deduce Markov-type inequalities in weighted Sobolev spaces associated with generalized Laguerre and generalized Hermite weights. | en |
dc.description.sponsorship | Acknowledgments: Authors are supported in part by three grants from Ministerio de Economía y Competititvidad, Agencia Estatal de Investigación (AEI) and Fondo Europeo de Desarrollo Regional (FEDER) (PGC2018-096504-B-C33, MTM2016-78227-C2-1-P and MTM2017-90584-REDT), Spain. | en |
dc.format.extent | 20 | |
dc.identifier.bibliographicCitation | Marcellán Español, F.J., Rodríguez García, J.M. (2021). Lupaş-type inequality and applications to Markov-type inequalities in weighted Sobolev spaces. Bulletin of Mathematical Sciences, 11(1), 1950022 | en |
dc.identifier.doi | https://doi.org/10.1142/S166436071950022X | |
dc.identifier.issn | 1664-3607 (print) | |
dc.identifier.issn | 1664-3615 (online) | |
dc.identifier.publicationfirstpage | 1 | |
dc.identifier.publicationissue | 1, 1950022 | |
dc.identifier.publicationlastpage | 20 | |
dc.identifier.publicationtitle | Bulletin of Mathematical Sciences | en |
dc.identifier.publicationvolume | 11 | |
dc.identifier.uri | https://hdl.handle.net/10016/35507 | |
dc.identifier.uxxi | AR/0000024416 | |
dc.language.iso | eng | en |
dc.publisher | World Scientific Pub Co Pte Lt. | en |
dc.relation.projectID | Gobierno de España. MTM2016-78227-C2-1-P | es |
dc.relation.projectID | Gobierno de España. PGC2018-096504-B-C33 | es |
dc.relation.projectID | Gobierno de España. MTM2017-90584-REDT | |
dc.rights | © The Author(s) | en |
dc.rights | Atribución 3.0 España | |
dc.rights.accessRights | open access | en |
dc.rights.uri | http://creativecommons.org/licenses/by/3.0/es/ | |
dc.subject.eciencia | Matemáticas | es |
dc.subject.other | Extremal Problems | en |
dc.subject.other | Lupaş-Type Inequality | en |
dc.subject.other | Markov-Type Inequality | en |
dc.subject.other | Weighted Sobolev Norm | en |
dc.subject.other | Weighted L²-Norm | en |
dc.title | Lupaş-type inequality and applications to Markov-type inequalities in weighted Sobolev spaces | en |
dc.type | research article | * |
dc.type.hasVersion | VoR | * |
dspace.entity.type | Publication |
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