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Gaussian extended cubature formulae for polyharmonic functions

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dc.contributor.authorBojanov, Borislav D.
dc.contributor.authorDimitrov, Dimitar K. [UNESP]
dc.contributor.institutionUniversity of Sofia
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2014-05-27T11:20:15Z
dc.date.available2014-05-27T11:20:15Z
dc.date.issued2001-04-01
dc.description.abstractThe purpose of this paper is to show certain links between univariate interpolation by algebraic polynomials and the representation of polyharmonic functions. This allows us to construct cubature formulae for multivariate functions having highest order of precision with respect to the class of polyharmonic functions. We obtain a Gauss type cubature formula that uses ℳ values of linear functional (integrals over hyperspheres) and is exact for all 2ℳ-harmonic functions, and consequently, for all algebraic polynomials of n variables of degree 4ℳ - 1.en
dc.description.affiliationDepartment of Mathematics University of Sofia, James Boucher 5, 1126 Sofia
dc.description.affiliationDepto. de Ciencias de Comp. e Estat. IBILCE Univ. Estadual Paulista, 15054-000 Sao Jose do Rio Preto, SP
dc.description.affiliationUnespDepto. de Ciencias de Comp. e Estat. IBILCE Univ. Estadual Paulista, 15054-000 Sao Jose do Rio Preto, SP
dc.format.extent671-683
dc.identifierhttp://dx.doi.org/10.1090/S0025-5718-00-01206-0
dc.identifier.citationMathematics of Computation, v. 70, n. 234, p. 671-683, 2001.
dc.identifier.doi10.1090/S0025-5718-00-01206-0
dc.identifier.issn0025-5718
dc.identifier.scopus2-s2.0-0035531380
dc.identifier.urihttp://hdl.handle.net/11449/66486
dc.identifier.wosWOS:000167738400013
dc.language.isoeng
dc.relation.ispartofMathematics of Computation
dc.relation.ispartofjcr1.750
dc.relation.ispartofsjr1,939
dc.rights.accessRightsAcesso aberto
dc.sourceScopus
dc.subjectExtended cubature formula
dc.subjectGaussian extended cubature formula
dc.subjectPolyharmonic function
dc.subjectPolyharmonic order of precision
dc.titleGaussian extended cubature formulae for polyharmonic functionsen
dc.typeArtigo
dcterms.licensehttp://www.ams.org/about-us/copyright
dspace.entity.typePublication
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