On generalization of trapezoid type inequalities for s-convex functions with generalized fractional integral operators

By 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 |f'| and |f''| (or |f'|q and |f''|q for q ? 1) are s-convex hold by applying the H?lder inequality and the power mean inequality.