An extremal nonnegative sine polynomial

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dc.contributor.authorAndreani, Roberto [UNESP]
dc.contributor.authorDimitrov, Dimitar K. [UNESP]
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2014-05-27T11:20:53Z
dc.date.available2014-05-27T11:20:53Z
dc.date.issued2003-09-01
dc.description.abstractFor any positive integer n, the sine polynomials that are nonnegative in [0, π] and which have the maximal derivative at the origin are determined in an explicit form. Associated cosine polynomials Kn (θ) are constructed in such a way that {Kn(θ)} is a summability kernel. Thus, for each Pi 1 ≤ P ≤ ∞ and for any 27π-periodic function f ∈ Lp [-π, π], the sequence of convolutions Kn * f is proved to converge to f in Lp[-ππ]. The pointwise and almost everywhere convergences are also consequences of our construction.en
dc.description.affiliationDepto. de Cie. de Comp. Ibilce Universidade Estadual Paulista, 15054-000 S. Jose do Rio Preto, SP
dc.description.affiliationUnespDepto. de Cie. de Comp. Ibilce Universidade Estadual Paulista, 15054-000 S. Jose do Rio Preto, SP
dc.format.extent759-774
dc.identifierhttp://dx.doi.org/10.1216/rmjm/1181069926
dc.identifier.citationRocky Mountain Journal of Mathematics, v. 33, n. 3, p. 759-774, 2003.
dc.identifier.doi10.1216/rmjm/1181069926
dc.identifier.file2-s2.0-1642296780.pdf
dc.identifier.issn0035-7596
dc.identifier.scopus2-s2.0-1642296780
dc.identifier.urihttp://hdl.handle.net/11449/67393
dc.identifier.wosWOS:000220011400001
dc.language.isoeng
dc.relation.ispartofRocky Mountain Journal of Mathematics
dc.relation.ispartofjcr0.330
dc.relation.ispartofsjr0,398
dc.rights.accessRightsAcesso aberto
dc.sourceScopus
dc.subjectConvergence
dc.subjectExtremal polynomial ultraspherical polynomials
dc.subjectNonnegative sine polynomial
dc.subjectPositive summability kernel
dc.titleAn extremal nonnegative sine polynomialen
dc.typeArtigo
dcterms.licensehttps://rmmc.eas.asu.edu/rmj/author.html
unesp.campusUniversidade Estadual Paulista (Unesp), Instituto de Biociências Letras e Ciências Exatas, São José do Rio Pretopt

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