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Lupaş-type inequality and applications to Markov-type inequalities in weighted Sobolev spaces

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dc.affiliation.dptoUC3M. Departamento de Matemáticases
dc.affiliation.grupoinvUC3M. Grupo de Investigación: Análisis Aplicadoes
dc.contributor.authorMarcellán Español, Francisco José
dc.contributor.authorRodríguez García, José Manuel
dc.contributor.funderMinisterio de Economía y Competitividad (España)es
dc.contributor.funderAgencia Estatal de Investigación (España)es
dc.date.accessioned2022-07-27T07:41:21Z
dc.date.available2022-07-27T07:41:21Z
dc.date.issued2021-04
dc.description.abstractWeighted 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.sponsorshipAcknowledgments: 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.extent20
dc.identifier.bibliographicCitationMarcellán 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), 1950022en
dc.identifier.doihttps://doi.org/10.1142/S166436071950022X
dc.identifier.issn1664-3607 (print)
dc.identifier.issn1664-3615 (online)
dc.identifier.publicationfirstpage1
dc.identifier.publicationissue1, 1950022
dc.identifier.publicationlastpage20
dc.identifier.publicationtitleBulletin of Mathematical Sciencesen
dc.identifier.publicationvolume11
dc.identifier.urihttps://hdl.handle.net/10016/35507
dc.identifier.uxxiAR/0000024416
dc.language.isoengen
dc.publisherWorld Scientific Pub Co Pte Lt.en
dc.relation.projectIDGobierno de España. MTM2016-78227-C2-1-Pes
dc.relation.projectIDGobierno de España. PGC2018-096504-B-C33es
dc.relation.projectIDGobierno de España. MTM2017-90584-REDT
dc.rights© The Author(s)en
dc.rightsAtribución 3.0 España
dc.rights.accessRightsopen accessen
dc.rights.urihttp://creativecommons.org/licenses/by/3.0/es/
dc.subject.ecienciaMatemáticases
dc.subject.otherExtremal Problemsen
dc.subject.otherLupaş-Type Inequalityen
dc.subject.otherMarkov-Type Inequalityen
dc.subject.otherWeighted Sobolev Normen
dc.subject.otherWeighted L²-Normen
dc.titleLupaş-type inequality and applications to Markov-type inequalities in weighted Sobolev spacesen
dc.typeresearch article*
dc.type.hasVersionVoR*
dspace.entity.typePublication
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