New quadrature rules for Bernstein measures on the interval [-1,1]

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dc.contributor.author Berriochoa, Elías
dc.contributor.author Cachafeiro, Alicia
dc.contributor.author García-Amor, José M.
dc.contributor.author Marcellán Español, Francisco José
dc.date.accessioned 2009-12-02T12:46:24Z
dc.date.available 2009-12-02T12:46:24Z
dc.date.issued 2008-10-16
dc.identifier.bibliographicCitation Electronic Transactions on Numerical Analysis, 2008, vol. 30, p. 278-290
dc.identifier.issn 1068-9613
dc.identifier.uri http://hdl.handle.net/10016/5912
dc.description 13 pages, no figures.-- MSC2000 codes: 33C47, 42C05.
dc.description MR#: MR2480082
dc.description Zbl#: Zbl pre05602092
dc.description.abstract In the present paper, we obtain quadrature rules for Bernstein measures on [-1, 1], having a fixed number of nodes and weights such that they exactly integrate functions in the linear space of polynomials with real coefficients.
dc.description.sponsorship The first three authors were partially supported by Ministerio de Educación y Ciencia under grant number MTM2005-01320. The fourth author was partially supported by Ministerio de Educación y Ciencia under grant number MTM2006-13000-C03-02 and project CCG07-UC3M/ESP-3339 with the financial support of Comunidad de Madrid and Universidad Carlos III de Madrid.
dc.format.mimetype application/pdf
dc.language.iso eng
dc.publisher Kent State University
dc.rights © Kent State University
dc.subject.other Quadrature rules
dc.subject.other Orthogonal polynomials
dc.subject.other Measures on the real line
dc.subject.other Bernstein measures
dc.subject.other Chebyshev polynomials
dc.title New quadrature rules for Bernstein measures on the interval [-1,1]
dc.type article
dc.type.review PeerReviewed
dc.description.status Publicado
dc.relation.publisherversion http://etna.mcs.kent.edu/vol.30.2008/pp278-290.dir/pp278-290.html
dc.subject.eciencia Matemáticas
dc.rights.accessRights openAccess
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