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Integration of polyharmonic functions

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dc.contributor.authorDimitrov, D. K.
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2014-05-20T15:27:59Z
dc.date.available2014-05-20T15:27:59Z
dc.date.issued1996-07-01
dc.description.abstractThe results in this paper are motivated by two analogies. First, m-harmonic functions in R(n) are extensions of the univariate algebraic polynomials of odd degree 2m-1. Second, Gauss' and Pizzetti's mean value formulae are natural multivariate analogues of the rectangular and Taylor's quadrature formulae, respectively. This point of view suggests that some theorems concerning quadrature rules could be generalized to results about integration of polyharmonic functions. This is done for the Tchakaloff-Obrechkoff quadrature formula and for the Gaussian quadrature with two nodes.en
dc.description.affiliationUNIV ESTADUAL PAULISTA,DEPT CIENCIAS COMP & ESTATIST,IBILCE,BR-15054000 S JOSE RIO PR,SP,BRAZIL
dc.description.affiliationUnespUNIV ESTADUAL PAULISTA,DEPT CIENCIAS COMP & ESTATIST,IBILCE,BR-15054000 S JOSE RIO PR,SP,BRAZIL
dc.format.extent1269-1281
dc.identifierhttp://dx.doi.org/10.1090/S0025-5718-96-00747-8
dc.identifier.citationMathematics of Computation. Providence: Amer Mathematical Soc, v. 65, n. 215, p. 1269-1281, 1996.
dc.identifier.doi10.1090/S0025-5718-96-00747-8
dc.identifier.issn0025-5718
dc.identifier.lattes1681267716971253
dc.identifier.urihttp://hdl.handle.net/11449/37891
dc.identifier.wosWOS:A1996UR11400021
dc.language.isoeng
dc.publisherAmer Mathematical Soc
dc.relation.ispartofMathematics of Computation
dc.relation.ispartofjcr1.750
dc.relation.ispartofsjr1,939
dc.rights.accessRightsAcesso aberto
dc.sourceWeb of Science
dc.subjectpolyharmonic functionpt
dc.subjectextended cubature formulapt
dc.subjectpolyharmonic order of precisionpt
dc.subjectpolyharmonic monosplinept
dc.titleIntegration of polyharmonic functionsen
dc.typeArtigo
dcterms.licensehttp://www.ams.org/publications/journals/help/jourhtml-authors
dcterms.rightsHolderAmer Mathematical Soc
dspace.entity.typePublication
unesp.author.lattes1681267716971253
unesp.campusUniversidade Estadual Paulista (UNESP), Instituto de Biociências Letras e Ciências Exatas, São José do Rio Pretopt
unesp.departmentCiências da Computação e Estatística - IBILCEpt

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São José do Rio Preto - IBILCE - Instituto de Biociências, Letras e Ciências Exatas