THE APPROXIMATION OF ALMOST TIME AND BAND LIMITED FUNCTIONS BY THEIR EXPANSION IN SOME ORTHOGONAL POLYNOMIALS BASES
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | JAMING, Philippe | |
| hal.structure.identifier | Département de mathématiques | |
| dc.contributor.author | KAROUI, Abderrazek | |
| hal.structure.identifier | University of Alberta | |
| dc.contributor.author | SPEKTOR, Susanna | |
| dc.date.accessioned | 2024-04-04T03:19:31Z | |
| dc.date.available | 2024-04-04T03:19:31Z | |
| dc.date.issued | 2016 | |
| dc.identifier.issn | 0021-9045 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/194517 | |
| dc.description.abstractEn | The 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.sponsorship | Conséquences 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.iso | en | |
| dc.publisher | Elsevier | |
| dc.title.en | THE APPROXIMATION OF ALMOST TIME AND BAND LIMITED FUNCTIONS BY THEIR EXPANSION IN SOME ORTHOGONAL POLYNOMIALS BASES | |
| dc.type | Article de revue | |
| dc.subject.hal | Mathématiques [math]/Analyse classique [math.CA] | |
| dc.subject.hal | Mathématiques [math]/Analyse numérique [math.NA] | |
| dc.subject.hal | Sciences de l'ingénieur [physics]/Traitement du signal et de l'image | |
| dc.identifier.arxiv | 1501.03655 | |
| bordeaux.journal | Journal of Approximation Theory | |
| bordeaux.page | 41-65 | |
| bordeaux.volume | 212 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-01103588 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01103588v1 | |
| bordeaux.COinS | ctx_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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