On Strongly m-Convex Stochastic Processes

Abstract

In this paper, we introduce the concept of strongly m-convex stochastic processes and present some basic properties of these stochastic processes. We derive the Hermite-Hadamard type inequalities for stochastic processes whose first derivatives in absolute values are strongly m-convex. The results presented in this paper are the generalization and extension of the previously known results. Mathematics Subject Classification (2010). 26A51, 26D15, 52A01, 60G99.