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dc.contributor.authorFelix, H. M.-
dc.contributor.authorSri Ranga, A.-
dc.contributor.authorVeronese, D. O.-
dc.date.accessioned2014-05-27T11:25:51Z-
dc.date.accessioned2016-10-25T18:33:50Z-
dc.date.available2014-05-27T11:25:51Z-
dc.date.available2016-10-25T18:33:50Z-
dc.date.issued2011-05-01-
dc.identifierhttp://dx.doi.org/10.1016/j.apnum.2010.12.006-
dc.identifier.citationApplied Numerical Mathematics, v. 61, n. 5, p. 651-665, 2011.-
dc.identifier.issn0168-9274-
dc.identifier.urihttp://hdl.handle.net/11449/72397-
dc.identifier.urihttp://acervodigital.unesp.br/handle/11449/72397-
dc.description.abstractA positive measure ψ defined on [a,b] such that its moments μn=∫a btndψ(t) exist for n=0,±1,±2,⋯, is called a strong positive measure on [a,b]. If 0≤a<b≤∞ then the sequence of (monic) polynomials {Qn}, defined by ∫a bt-n+sQn(t)dψ(t)=0, s=0,1,⋯,n-1, is known to exist. We refer to these polynomials as the L-orthogonal polynomials with respect to the strong positive measure ψ. The purpose of this manuscript is to consider some properties of the kernel polynomials associated with these L-orthogonal polynomials. As applications, we consider the quadrature rules associated with these kernel polynomials. Associated eigenvalue problems and numerical evaluation of the nodes and weights of such quadrature rules are also considered. © 2010 IMACS. Published by Elsevier B.V. All rights reserved.en
dc.format.extent651-665-
dc.language.isoeng-
dc.sourceScopus-
dc.subjectEigenvalue problems-
dc.subjectKernel polynomials-
dc.subjectOrthogonal Laurent polynomials-
dc.subjectQuadrature rules-
dc.subjectEigenvalue problem-
dc.subjectL-orthogonal polynomials-
dc.subjectNumerical evaluations-
dc.subjectOrthogonal Laurent polynomial-
dc.subjectEigenvalues and eigenfunctions-
dc.subjectOrthogonal functions-
dc.subjectPolynomials-
dc.titleKernel polynomials from L-orthogonal polynomialsen
dc.typeoutro-
dc.contributor.institutionUniversidade Estadual Paulista (UNESP)-
dc.contributor.institutionUniversidade Federal do Tocantins (UFT)-
dc.description.affiliationDepartamento de Ciências de Computação e Estatística IBILCE Universidade Estadual Paulista (UNESP), 15054-000 São José do Rio Preto, SP-
dc.description.affiliationFundação Universidade Federal Do Tocantins, 77330-000 Arraias, TO-
dc.description.affiliationUnespDepartamento de Ciências de Computação e Estatística IBILCE Universidade Estadual Paulista (UNESP), 15054-000 São José do Rio Preto, SP-
dc.identifier.doi10.1016/j.apnum.2010.12.006-
dc.rights.accessRightsAcesso aberto-
dc.identifier.file2-s2.0-79751525870.pdf-
dc.relation.ispartofApplied Numerical Mathematics-
dc.identifier.scopus2-s2.0-79751525870-
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