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Sharp inequality of three point Gauss-Legendre quadrature rule

dc.creatorKashuri, Artion
dc.date2020-05-28
dc.date.accessioned2020-07-13T16:27:05Z
dc.date.available2020-07-13T16:27:05Z
dc.identifierhttps://www.revistaproyecciones.cl/index.php/proyecciones/article/view/3605
dc.identifier10.22199/issn.0717-6279-2020-03-0039
dc.identifier.urihttps://revistaschilenas.uchile.cl/handle/2250/140503
dc.descriptionAn interesting identity for 3-point Gauss-Legendre quadrature rule using functions that are n-times differentiable. By applying the established identity, a sharp inequality which gives an error bound for 3-point Gauss-Legendre quadrature rule and some generalizations are derived. At the end, an application in numerical integration is given.en-US
dc.formatapplication/pdf
dc.languageeng
dc.publisherUniversidad Católica del Norte.en-US
dc.relationhttps://www.revistaproyecciones.cl/index.php/proyecciones/article/view/3605/3418
dc.rightsCopyright (c) 2020 Artion Kashurien-US
dc.rightshttp://creativecommons.org/licenses/by/4.0en-US
dc.sourceProyecciones (Antofagasta, On line); Vol. 39 No. 3 (2020); 639-649en-US
dc.sourceProyecciones. Revista de Matemática; Vol. 39 Núm. 3 (2020); 639-649es-ES
dc.source0717-6279
dc.source10.22199/issn.0717-6279-2020-03
dc.subjectGauss quadrature formulaen-US
dc.subjectHolder inequalityen-US
dc.subject26D07en-US
dc.subjectInequalities involving other types of functionsen-US
dc.subject26A42en-US
dc.subjectIntegrals of Riemann, Stieltjes and Lebesgue typeen-US
dc.subject26D10en-US
dc.subjectInequalities involving derivatives and differential and integral operatorsen-US
dc.subject26D15en-US
dc.subjectInequalities for sums, series and integralsen-US
dc.titleSharp inequality of three point Gauss-Legendre quadrature ruleen-US
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion
dc.typePeer-reviewed Articleen-US
dc.typetexten-US


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