New fractional estimates of Hermite-Hadamard inequalities and applications to means

Abstract

The main objective of this paper is to obtain some new fractional estimates of Hermite-Hadamard type inequalities via h-convex functions. A new fractional integral identity for three times differentiable function is established. This result plays an important role in the development of new results. Several new special cases are also discussed. Some applications to means of real numbers are also discussed.