SOME HERMITE-HADAMARD TYPE INTEGRAL INEQUALITIES FOR S-CONVEX STOCHASTIC PROCESSES ON N-COORDINATES

Abstract

In this study, we identiÖed s-convexity of Örst and second sensefor multidimensional stochastic processes. Concordantly, we veriÖed HermiteHadamard type inequalities for these processes. Besides, we exempliÖed theseresults on two and three-dimensional stochastic processes. Ultimately, wecompared our results with multidimensional harmonically convex stochasticprocesses in the literature. It must be known that the inequalities in ourstudy are especially necessary to compare the maximum and minimum valuesof s-convex of Örst and second sense for multidimensional stochastic processwith the expected value of stochastic processes. It is used mean-square integrability for the speciality of stochastic processes to obtain these inequalitiesin this study.