Hermite-Hadamard type inequalities, convex stochastic processes and Katugampola fractional integral

Abstract

In this work we present some Hermite-Hadamard type inequalities for convex Stochastic Processes using the Katugampola fractional integral, and from these results specific cases are deduced for the Riemann-Liouville fractional integral and Riemann integral. Also, a refinement of the aforementioned inequality is presented.

Keywords

• Hermite-Hadamard inequality
• Stochastic Processes
• Fractional Integrals