Some integral inequalities of the Hermite-Hadamard type for s-convex stochastic processes on n-coordinates

Authors : Nurgül OKUR, Vildan KARAHAN

Pages : 1959-1973

Doi:10.31801/cfsuasmas.472380

View : 12 | Download : 6

Publication Date : 2019-08-01

Article Type : Research Paper

Abstract :In this study, we identified s-convexity of first and second sense for multidimensional stochastic processes. Concordantly, we verified Hermite-Hadamard type inequalities for these processes. Besides, we exemplified these results on two and three-dimensional stochastic processes. Ultimately, we compared our results with multidimensional harmonically convex stochastic processes in the literature. It must be known that the inequalities in our study are especially necessary to compare the maximum and minimum values of s-convex of first and second sense for multidimensional stochastic process with the expected value of stochastic processes. It is used mean-square integrability for the speciality of stochastic processes to obtain these inequalities in this study
Keywords : mean square integral, Multidimensional stochastic process, s convexity of first and second sense, Hermite Hadamard inequality