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THE APPROXIMATION OF ALMOST TIME AND BAND LIMITED FUNCTIONS BY THEIR EXPANSION IN SOME ORTHOGONAL POLYNOMIALS BASES

hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorJAMING, Philippe
hal.structure.identifierDépartement de mathématiques
dc.contributor.authorKAROUI, Abderrazek
hal.structure.identifierUniversity of Alberta
dc.contributor.authorSPEKTOR, Susanna
dc.date.accessioned2024-04-04T03:19:31Z
dc.date.available2024-04-04T03:19:31Z
dc.date.issued2016
dc.identifier.issn0021-9045
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/194517
dc.description.abstractEnThe aim of this paper is to investigate the quality of approximation of almost time and almost band-limited functions by its expansion in three classical orthogonal polynomials bases: the Hermite, Legendre and Chebyshev bases. As a corollary, this allows us to obtain the quality of approximation in the L 2 −Sobolev space by these orthogonal polynomials bases. Also, we obtain the rate of the Legendre series expansion of the prolate spheroidal wave functions. Some numerical examples are given to illustrate the different results of this work.
dc.description.sponsorshipConséquences à long terme de l'exposition péripubertaire aux cannabinoides: étude comportementale et transcriptionnelle chez le rat et analyse moléculaire chez l'homme - ANR-06-NEUR-0044
dc.language.isoen
dc.publisherElsevier
dc.title.enTHE APPROXIMATION OF ALMOST TIME AND BAND LIMITED FUNCTIONS BY THEIR EXPANSION IN SOME ORTHOGONAL POLYNOMIALS BASES
dc.typeArticle de revue
dc.subject.halMathématiques [math]/Analyse classique [math.CA]
dc.subject.halMathématiques [math]/Analyse numérique [math.NA]
dc.subject.halSciences de l'ingénieur [physics]/Traitement du signal et de l'image
dc.identifier.arxiv1501.03655
bordeaux.journalJournal of Approximation Theory
bordeaux.page41-65
bordeaux.volume212
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-01103588
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01103588v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Journal%20of%20Approximation%20Theory&rft.date=2016&rft.volume=212&rft.spage=41-65&rft.epage=41-65&rft.eissn=0021-9045&rft.issn=0021-9045&rft.au=JAMING,%20Philippe&KAROUI,%20Abderrazek&SPEKTOR,%20Susanna&rft.genre=article


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