No abstract

Abstract. We provide some new Hermite-Hadamard type inequalities for functions whose derivatives in absolute value are convex, via Riemann-Liouville fractional integration.

Abstract. The main objective of this paper is to establish some conformable fractional estimates of Hermite-Hadamard type integral inequalities via harmonic convex functions. Mathematics subject classification (2010): 26D15, 26A51, 26A33.

In this paper, we consider the class of s-Godunova-Levin functions. We derive a new fractional integral identity for differentiable function. Using this new identity, we establish some new fractional Hermite-Hadamard type inequalities for the class of differentiable s-Godunova-Levin functions.

In this paper the notion of higher order strongly h-preinvex functions is presented, which unifies several known classes of preinvexity. An identity related to the kth order differentiable functions and Riemann-Liouville integrals is established. The identity is then used to obtain some estimates of upper bound for the kth order differentiable functions involving Riemann-Liouville integrals via higher order strongly h-preinvex functions.