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dc.contributor.authorDimitrov, Dimitar K. [UNESP]
dc.contributor.authorMerlo, Clinton A. [UNESP]
dc.date.accessioned2014-05-27T11:20:32Z
dc.date.available2014-05-27T11:20:32Z
dc.date.issued2002-12-01
dc.identifierhttp://dx.doi.org/10.1007/s00365-001-0004-x
dc.identifier.citationConstructive Approximation, v. 18, n. 1, p. 117-143, 2002.
dc.identifier.issn0176-4276
dc.identifier.urihttp://hdl.handle.net/11449/67029
dc.description.abstractAn extremal problem for the coefficients of sine polynomials, which are nonnegative in [0,π] , posed and discussed by Rogosinski and Szego is under consideration. An analog of the Fejér-Riesz representation of nonnegative general trigonometric and cosine polynomials is proved for nonnegative sine polynomials. Various extremal sine polynomials for the problem of Rogosinski and Szego are obtained explicitly. Associated cosine polynomials k n (θ) are constructed in such a way that { k n (θ) } are summability kernels. Thus, the L p , pointwise and almost everywhere convergence of the corresponding convolutions, is established. © 2002 Springer-Verlag New York Inc.en
dc.format.extent117-143
dc.language.isoeng
dc.relation.ispartofConstructive Approximation
dc.sourceScopus
dc.subjectNonnegative trigonometric polynomials, Extremal polynomials, Summability kernel, Fejér-Riesz-type theorem, Lp Convergence, Pointwise and almost everywhere convergence
dc.titleNonnegative trigonometric polynomialsen
dc.typeArtigo
dcterms.licensehttp://www.springer.com/open+access/authors+rights
dc.contributor.institutionUniversidade Estadual Paulista (UNESP)
dc.description.affiliationDepartamento de Ciências de Computação e Estatística IBILCE Universidade Estadual Paulista, 15054-000 Sao Jose do Rio Preto, SP
dc.description.affiliationUnespDepartamento de Ciências de Computação e Estatística IBILCE Universidade Estadual Paulista, 15054-000 Sao Jose do Rio Preto, SP
dc.identifier.doi10.1007/s00365-001-0004-x
dc.identifier.wosWOS:000172211500006
dc.rights.accessRightsAcesso restrito
dc.identifier.scopus2-s2.0-0036103878
unesp.campusUniversidade Estadual Paulista (UNESP), Instituto de Biociências Letras e Ciências Exatas, São José do Rio Pretopt
dc.relation.ispartofjcr0.827
dc.relation.ispartofsjr0,738
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