On Generalization of Trapezoid Type Inequalities for s-Convex Functions with Generalized Fractional Integral Operators

Usta, FuatBudak, HüseyinSarıkaya, Mehmet ZekiSet, Erhan2020-04-302020-04-3020180354-5180https://doi.org/10.2298/FIL1806153Uhttps://hdl.handle.net/20.500.12684/3882SET, ERHAN/0000-0003-1364-5396WOS: 000461179400013By using contemporary theory of inequalities, this study is devoted to propose a number of refinements inequalities for the Hermite Hadamard's type inequality and conclude explicit bounds for the trapezoid inequalities in terms of s-convex mappings, at most second derivative through the instrument of generalized fractional integral operator and a considerable amount of results for special means. The results of this study which are the generalization of those given in earlier works are obtained for functions f where vertical bar f'vertical bar and vertical bar f ''vertical bar (or vertical bar f'vertical bar(q) and vertical bar f ''vertical bar(q) for q >= 1) are s-convex hold by applying the Holder inequality and the power mean inequality.en10.2298/FIL1806153Uinfo:eu-repo/semantics/openAccessHermite-Hadamard inequalitytrapezoid inequalityfractional integral operatorss-convex functionOn Generalization of Trapezoid Type Inequalities for s-Convex Functions with Generalized Fractional Integral OperatorsArticle32621532171WOS:000461179400013Q3Q2