Fractional Hermite-Hadamard inequalities for ( α , m ) -logarithmically convex functions

By means of two fundamental fractional integral identities, we derive two classes of new Hermite-Hadamard type inequalities involving Riemann-Liouville fractional integrals for once and twice differentiable -logarithmically convex functions, respectively. The main novelty of this paper is that we use powerful series to describe our estimations. MSC:26A33, 26A51, 26D15.