Kara, HasanErden, SametBudak, Hüseyin2023-07-262023-07-2620232423-3900https://doi.org/10.22130/scma.2022.552775.1102https://hdl.handle.net/20.500.12684/12992We first construct new Hermite-Hadamard type in-equalities which include generalized fractional integrals for convex functions by using an operator which generates some significant fractional integrals such as Riemann-Liouville fractional and the Hadamard fractional integrals. Afterwards, Trapezoid and Mid-point type results involving generalized fractional integrals for func-tions whose the derivatives in modulus and their certain powers are convex are established. We also recapture the previous results in the particular situations of the inequalities which are given in the earlier works.en10.22130/scma.2022.552775.1102info:eu-repo/semantics/closedAccessHermite-Hadamard Inequalities; Generalized Fractional Integrals; Convex FunctionsFejer Type Inequalities; Differentiable Mappings; Real NumbersArticle202851072-s2.0-85160090223WOS:000946176000004Q2