Some results on Hermite-Hadamard type inequalities with respect to fractional integrals

In this paper, we establish Hermite-Hadamard type inequalities for uniformly p-convex functions. Also, a new fractional Hermite-Hadamard type inequality for convex functions is obtained by using only the left Riemann-Liouville fractional integral. Finally some extimation of left fractional integration studies for Hermite- Hadamard type inequalities.

Keywords:

Hermite-Hadamard inequalities , uniformly p-convex functions , Holder inequality