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Please use this identifier to cite or link to this item: http://acervodigital.unesp.br/handle/11449/37891
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dc.contributor.authorDimitrov, D. K.-
dc.date.accessioned2014-05-20T15:27:59Z-
dc.date.accessioned2016-10-25T18:02:58Z-
dc.date.available2014-05-20T15:27:59Z-
dc.date.available2016-10-25T18:02:58Z-
dc.date.issued1996-07-01-
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.issn0025-5718-
dc.identifier.urihttp://hdl.handle.net/11449/37891-
dc.identifier.urihttp://acervodigital.unesp.br/handle/11449/37891-
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.format.extent1269-1281-
dc.language.isoeng-
dc.publisherAmer Mathematical Soc-
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.typeoutro-
dc.contributor.institutionUniversidade Estadual Paulista (UNESP)-
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.identifier.doi10.1090/S0025-5718-96-00747-8-
dc.identifier.wosWOS:A1996UR11400021-
dc.rights.accessRightsAcesso aberto-
dc.relation.ispartofMathematics of Computation-
Appears in Collections:Artigos, TCCs, Teses e Dissertações da Unesp

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