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A new numerical quadrature formula on the unit circle

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dc.affiliation.dptoUC3M. Departamento de Matemáticases
dc.affiliation.grupoinvUC3M. Grupo de Investigación: Análisis Aplicadoes
dc.contributor.authorBerriochoa, Elías
dc.contributor.authorCachafeiro, Alicia
dc.contributor.authorMarcellán Español, Francisco José
dc.date.accessioned2009-12-02T16:21:23Z
dc.date.available2009-12-02T16:21:23Z
dc.date.issued2007-04
dc.description11 pages, no figures.-- MSC2000 codes: 33C47, 42C05, 65D30.
dc.descriptionMR#: MR2335810 (2008i:33038)
dc.descriptionZbl#: Zbl 1126.65023
dc.description.abstractIn this paper we study a quadrature formula for Bernstein–Szegö measures on the unit circle with a fixed number of nodes and unlimited exactness. Taking into account that the Bernstein–Szegö measures are very suitable for approximating an important class of measures we also present a quadrature formula for this type of measures such that the error can be controlled with a well-bounded formula.
dc.description.sponsorshipThis work was supported by Ministerio de Educación y Ciencia under grants number MTM2005-01320 (E. B. and A. C.) and MTM2006-13000-C03-02 (F. M.).
dc.description.statusPublicado
dc.format.mimetypeapplication/pdf
dc.identifier.bibliographicCitationNumerical Algorithms, 2007, vol. 44, n. 4, p. 391-401
dc.identifier.doi10.1007/s11075-007-9121-3
dc.identifier.issn1017-1398 (Print)
dc.identifier.issn1572-9265 (Online)
dc.identifier.urihttps://hdl.handle.net/10016/5919
dc.language.isoeng
dc.publisherSpringer
dc.relation.publisherversionhttp://dx.doi.org/10.1007/s11075-007-9121-3
dc.rights© Springer
dc.rights.accessRightsopen access
dc.subject.ecienciaMatemáticas
dc.subject.otherOrthogonal polynomials
dc.subject.otherSzegö quadrature
dc.subject.otherNumerical integration
dc.titleA new numerical quadrature formula on the unit circle
dc.typeresearch article*
dc.type.reviewPeerReviewed
dspace.entity.typePublication
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