On generalization of midpoint type inequalities with generalized fractional integral operators

Budak, HüseyinUsta, FuatSarıkaya, Mehmet ZekiÖzdemir, Mehmet Emin2020-04-302020-04-3020191578-73031579-1505https://doi.org/10.1007/s13398-018-0514-zhttps://hdl.handle.net/20.500.12684/3880WOS: 000467148800027The Hermite-Hadamard inequality is the first principal result for convex functions defined on a interval of real numbers with a natural geometrical interpretation and a loose number of applications for particular inequalities. In this paper we proposed the Hermite-Hadamard and midpoint type inequalities for functions whose first and second derivatives in absolute value are s-convex through the instrument of generalized fractional integral operator and a considerable amount of results for special means which can naturally be deduced.en10.1007/s13398-018-0514-zinfo:eu-repo/semantics/closedAccessHermite-Hadamard inequalityMidpoint inequalityFractional integral operatorsConvex functionOn generalization of midpoint type inequalities with generalized fractional integral operatorsArticle1132769790WOS:000467148800027Q1Q1