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

Hermite-Hadamard Type Inequalities for m-Convex and (α, m)-Convex Stochastic Processes