A unified generalization of some quadrature rules and error bounds

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dc.contributor.authorLiu, Wenjun
dc.contributor.authorJiang, Yong
dc.contributor.authorTuna, Adnan
dc.date.accessioned2019-08-01T13:38:39Z
dc.date.available2019-08-01T13:38:39Z
dc.date.issued2013
dc.departmentNiğde ÖHÜ
dc.description.abstractBy introducing a parameter, we give a unified generalization of some quadrature rules, which not only unify the recent results about error bounds for generalized mid-point, trapezoid and Simpson's rules, but also give some new error bounds for other quadrature rules as special cases. Especially, two sharp error inequalities are derived when n is an odd and an even integer, respectively. (C) 2012 Elsevier Inc. All rights reserved.
dc.description.sponsorshipNational Natural Science Foundation of China [41174165, 40975002]; Tianyuan Fund of Mathematics [11026211]; Natural Science Foundation of the Jiangsu Higher Education Institutions [09KJB110005]; Teaching Research Project of NUIST [12JY052]
dc.description.sponsorshipThis work was supported by the National Natural Science Foundation of China (Grant No. 41174165, 40975002), the Tianyuan Fund of Mathematics (Grant No. 11026211), the Natural Science Foundation of the Jiangsu Higher Education Institutions (Grant No. 09KJB110005) and the Teaching Research Project of NUIST (Grant No. 12JY052).
dc.identifier.doi10.1016/j.amc.2012.10.093
dc.identifier.endpage4774
dc.identifier.issn0096-3003
dc.identifier.issue9
dc.identifier.scopus2-s2.0-84871328884
dc.identifier.scopusqualityQ1
dc.identifier.startpage4765
dc.identifier.urihttps://dx.doi.org/10.1016/j.amc.2012.10.093
dc.identifier.urihttps://hdl.handle.net/11480/4493
dc.identifier.volume219
dc.identifier.wosWOS:000312366700056
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthor[0-Belirlenecek]
dc.language.isoen
dc.publisherELSEVIER SCIENCE INC
dc.relation.ispartofAPPLIED MATHEMATICS AND COMPUTATION
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectUnified generalizations
dc.subjectQuadrature rule
dc.subjectError bounds
dc.subjectSimpson's rules
dc.titleA unified generalization of some quadrature rules and error bounds
dc.typeArticle

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