Landau and Kolmogoroff type polynomial inequalities II

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dc.contributor.authorDe Andrade, Eliana X.L. [UNESP]
dc.contributor.authorDimitrov, Dimitar K. [UNESP]
dc.contributor.authorDe Sousa, Lisandra E. [UNESP]
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2014-05-27T11:21:05Z
dc.date.available2014-05-27T11:21:05Z
dc.date.issued2004-06-01
dc.description.abstractLet 0 < j < m ≤ n. Kolmogoroff type inequalities of the form ∥f(j)∥2 ≤ A∥f(m)∥ 2 + B∥f∥2 which hold for algebraic polynomials of degree n are established. Here the norm is defined by ∫ f2(x)dμ(x), where dμ(x) is any distribution associated with the Jacobi, Laguerre or Bessel orthogonal polynomials. In particular we characterize completely the positive constants A and B, for which the Landau weighted polynomial inequalities ∥f′∥ 2 ≤ A∥f″∥2 + B∥f∥ 2 hold. © Dynamic Publishers, Inc.en
dc.description.affiliationDepto. Cie. Computacao/Estatistica IBILCE Universidade Estadual Paulista, 15054-000 Sao Jose do Rio Preto, SP
dc.description.affiliationUnespDepto. Cie. Computacao/Estatistica IBILCE Universidade Estadual Paulista, 15054-000 Sao Jose do Rio Preto, SP
dc.format.extent339-353
dc.identifier.citationArchives of Inequalities and Applications, v. 2, n. 2-3, p. 339-353, 2004.
dc.identifier.issn1542-6149
dc.identifier.scopus2-s2.0-11044237331
dc.identifier.urihttp://hdl.handle.net/11449/67760
dc.language.isoeng
dc.relation.ispartofArchives of Inequalities and Applications
dc.rights.accessRightsAcesso restrito
dc.sourceScopus
dc.subjectBessel polynomialsen
dc.subjectExtremal polynomialsen
dc.subjectJacobi polynomialsen
dc.subjectLaguerre polynomialsen
dc.subjectLandau and Kolmogoroff type inequalitiesen
dc.subjectMarkov's inequalityen
dc.subjectRayleigh-Ritz theoremen
dc.titleLandau and Kolmogoroff type polynomial inequalities IIen
dc.typeArtigo

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