HERMITE-HADAMARD TYPE INEQUALITIES FOR m-CONVEX AND (alpha, m)-CONVEX STOCHASTIC PROCESSES

Abstract

In this paper, the concepts of m-convex and (alpha, m)-convex stochastic processes are introduced. Several new inequalities of Hermite-Hadamard type for differentiable m-convex and (alpha, m)-convex stochastic processes are established. The results obtained in this work are the generalizations of the known results.