Hermite-Hadamard type inequalities, convex stochastic processes and Katugampolafractional integral

Abstract

. In this work we present some Hermite-Hadamard type ine-qualities 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.