On the Fractional Hermite-Hadamard Type Inequalities for ($\alpha$,m)- Logarithmically Convex Functions

Abstract

The purpose of this paper is to establish some refinements of Riemann-Liouville fractional Hermite-Hadamard inequalities for $(\alpha,m)$-logarithmically convex functions. By using our fractional integrals identities, we present some interesting and new
left type fractional Hermite-Hadamard inequalities for once and twice differentiable $(\alpha,m)$-logarithmically convex functions via powerful series.