Browsing by Author "Usta, Fatih"

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    On generalization of midpoint type inequalities with generalized fractional integral operators
    (Springer-Verlag Italia SRL, 2019-04) Budak, Hüseyin; Usta, Fatih; Sarıkaya, Mehmet Zeki; Özdemir, M. Emin; Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü.; 0000-0002-5992-094X; AAH-1091-2021; 22734889600
    The 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.