Budak, HüseyinUsta, FatihSarıkaya, Mehmet Zeki2023-10-122023-10-122019-04Budak, H. vd. (2019). "On generalization of midpoint type inequalities with generalized fractional integral operators". 113(2), 769-790.1578-73031579-1505https://doi.org/10.1007/s13398-018-0514-zhttps://link.springer.com/article/10.1007/s13398-018-0514-zhttp://hdl.handle.net/11452/34299The 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.eninfo:eu-repo/semantics/closedAccessMathematicsScience & technology-other topicsIntegral equationsMathematical operatorsConvex functionsFractional integral operatorFractional integralsGeneralisationGeometrical interpretationHermiteHermite-Hadamard inequalitiesIntegral operatorsMidpoint inequalityReal numberFunctionsConvex functionFractional integral operatorsArticle0004671488000272-s2.0-850649533097697901132MathematicsMultidisciplinary sciencesOstrowski Type Inequality; Convex Function; Fractional Integral