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Hermite-Hadamard type fractional integral inequalities for products of two MT(r;g,m,φ)-preinvex functions

dc.creatorKashuri, Artion
dc.creatorLiko, Rozana
dc.date2020-02-04
dc.date.accessioned2020-02-05T12:59:09Z
dc.date.available2020-02-05T12:59:09Z
dc.identifierhttps://www.revistaproyecciones.cl/article/view/3988
dc.identifier10.22199/issn.0717-6279-2020-01-0014
dc.identifier.urihttps://revistaschilenas.uchile.cl/handle/2250/123604
dc.descriptionA new class of MT(r;g,m,φ)-preinvex functions is introduced and some new integral inequalities for the left-hand side of Gauss-Jacobi type quadrature formula involving products of two MT(r;g,m,φ)-preinvex functions are given. Moreover, some generalizations of Hermite-Hadamard type inequalities for products of two MT(r;g,m,φ)-preinvex functions via Riemann-Liouville fractional integrals are established. These general inequalities give us some new estimates for the left-hand side of Gauss-Jacobi type quadrature formula and Hermite-Hadamard type fractional integral inequalities. At the end, some conclusions and future research are given.en-US
dc.formatapplication/pdf
dc.languageeng
dc.publisherUniversidad Católica del Norte.en-US
dc.relationhttps://www.revistaproyecciones.cl/article/view/3988/3340
dc.rightsCopyright (c) 2020 Artion Kashuri, Rozana Likoen-US
dc.rightshttp://creativecommons.org/licenses/by/4.0en-US
dc.sourceProyecciones (Antofagasta, On line); Vol 39 No 1 (2020); 219-242en-US
dc.sourceProyecciones. Revista de Matemática; Vol. 39 Núm. 1 (2020); 219-242es-ES
dc.source0717-6279
dc.source0716-0917
dc.subjectHermite-Hadamard type inequalityen-US
dc.subjectHölder’s inequalityen-US
dc.subjectMinkowski’s inequalityen-US
dc.subjectCauchy’s inequalityen-US
dc.subjectPower mean inequalityen-US
dc.subjectRiemann-Liouville fractional integralen-US
dc.subjects-convex function in the second senseen-US
dc.subjectm-invexen-US
dc.subjectP -functionen-US
dc.subject26A51en-US
dc.subjectConvexity, generalizationsen-US
dc.subject26A33en-US
dc.subjectFractional derivatives and integralsen-US
dc.subject26D07en-US
dc.subjectInequalities involving other types of functionsen-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.titleHermite-Hadamard type fractional integral inequalities for products of two MT(r;g,m,φ)-preinvex functionsen-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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