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
mean-square integral Multidimensional stochastic process s-convexity of first and second sense Hermite-Hadamard inequality
Primary Language | English |
---|---|
Subjects | Applied Mathematics |
Journal Section | Review Articles |
Authors | |
Publication Date | August 1, 2019 |
Submission Date | October 19, 2018 |
Acceptance Date | May 2, 2019 |
Published in Issue | Year 2019 Volume: 68 Issue: 2 |
Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics.
This work is licensed under a Creative Commons Attribution 4.0 International License.