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

Year 2019, Volume: 68 Issue: 2, 1959 - 1973, 01.08.2019

Nurgül Okur Vildan Karahan

https://doi.org/10.31801/cfsuasmas.472380

Cited By: 2

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

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