Derivation of the errors involved in Hermite interpolation and their applications to quadrature formulae

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dc.AffiliationOctober University for modern sciences and Arts (MSA)
dc.contributor.authorAshour, S. A.
dc.contributor.authorAhmed, H. M.
dc.date.accessioned2019-11-18T11:25:14Z
dc.date.available2019-11-18T11:25:14Z
dc.date.issued2006
dc.descriptionAccession Number: WOS:000242385400070en_US
dc.description.abstractDivided differences are presented to derive closed-form for the error involved in Hermite interpolation formulae for the class of functions, which need not be sufficiently differentiable. As applications of these formulae the error estimates in the known Gaussian quadrature formulae for regular and singular integrals are taken up. Some examples are considered for numerical experimentsen_US
dc.description.sponsorshipELSEVIER SCIENCE INCen_US
dc.identifier.citationCited References in Web of Science Core Collection: 8en_US
dc.identifier.doihttps://doi.org/10.1016/j.amc.2006.02.046
dc.identifier.issn0096-3003
dc.identifier.otherhttps://doi.org/10.1016/j.amc.2006.02.046
dc.identifier.urihttps://cutt.ly/KeJJEYN
dc.language.isoenen_US
dc.publisherELSEVIER SCIENCE INCen_US
dc.relation.ispartofseriesAPPLIED MATHEMATICS AND COMPUTATION;Volume: 181 Issue: 2 Pages: 1482-1489
dc.relation.urihttps://cutt.ly/ceJJrRh
dc.subjectUniversity for divided differencesen_US
dc.subjectHermite interpolationen_US
dc.subjectquadraturesen_US
dc.subjectcauchy integralen_US
dc.subjectfinite-part integraen_US
dc.titleDerivation of the errors involved in Hermite interpolation and their applications to quadrature formulaeen_US
dc.typeArticleen_US

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