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Some new Ostrowski type fractional integral inequalities for generalized relative semi-(r; m, h)-preinvex mappings via Caputo k-fractional derivatives.

dc.creatorKashuri, Artion
dc.creatorLiko, Rozana
dc.date2019-06-03
dc.date.accessioned2019-11-14T12:01:19Z
dc.date.available2019-11-14T12:01:19Z
dc.identifierhttps://www.revistaproyecciones.cl/article/view/3583
dc.identifier.urihttps://revistaschilenas.uchile.cl/handle/2250/113694
dc.descriptionIn the present paper, the notion of generalized relative semi-(r; m, h)-preinvex mappings is introduced and some new integral inequalities for the left-hand side of Gauss-Jacobi type quadrature formula involving generalized relative semi-(r; m, h)-preinvex mappings are given.Moreover, some new generalizations of Ostrowski type integral inequalities to generalized relative semi-(r; m, h)-preinvex mappings that are (n + 1)-differentiable via Caputo k-fractional derivatives are established. Some applications to special means are also obtain. It is pointed out that some new special cases can be deduced from main results of the article.en-US
dc.formatapplication/pdf
dc.languageeng
dc.publisherUniversidad Católica del Norte.es-ES
dc.relationhttps://www.revistaproyecciones.cl/article/view/3583/3174
dc.rightsDerechos de autor 2019 Proyecciones. Revista de Matemáticaes-ES
dc.rightshttps://creativecommons.org/licenses/by-nc/4.0es-ES
dc.sourceProyecciones. Journal of Mathematics; Vol 38 No 2 (2019); 363-394en-US
dc.sourceProyecciones. Revista de Matemática; Vol. 38 Núm. 2 (2019); 363-394es-ES
dc.source0717-6279
dc.source0716-0917
dc.subjectOstrowski type inequalityen-US
dc.subjectHölder’s inequalityen-US
dc.subjectMinkowski inequalityen-US
dc.subjectPower mean inequalityen-US
dc.subjectCaputo k-fractional derivativesen-US
dc.subjectm-invexen-US
dc.subjectConvexity, generalizationsen-US
dc.subjectFractional derivatives and integralsen-US
dc.subjectInequalities involving other types of functionsen-US
dc.subjectInequalities involving derivatives and differential and integral operatorsen-US
dc.subjectInequalities for sums, series and integralsen-US
dc.titleSome new Ostrowski type fractional integral inequalities for generalized relative semi-(r; m, h)-preinvex mappings via Caputo k-fractional derivatives.en-US
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion
dc.typeArtículo revisado por pareses-ES
dc.typetexten-US


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