Some Integral Inequalities Involving a Fractional Integral Operator with Extended Hypergeometric Function

The present article deals with the generalized k-fractional integrals of a function with respect to the extended hypergeometric function which generalizes a variety of fractional integrals such as Riemann- Liouville, Hadamard fractional integrals, Katugampola fractional integrals, (k,s) fractional integral operators. Moreover, we derive the Hermite-Hadamard inequalities by employing k-fractional integrals of a function with respect to the extended hypergeometric function and the trapezoid type inequalities for the functions whose derivatives in absolute value are convex. Some special cases of these inequalities are also provided.