期刊名称：An International Journal of Optimization and Control: Theories & Applications (IJOCTA)
印刷版ISSN：2146-5703
出版年度：2019
卷号：9
期号：2
页码：148-153
DOI：10.11121/ijocta.01.2019.00602
出版社：An International Journal of Optimization and Control: Theories & Applications (IJOCTA)
摘要：In this study are investigated p-convex stochastic processes which are extensions of convex stochastic processes. A suitable example is also given for this process. In addition, in this case a p-convex stochastic process is increasing or decreasing, the relation with convexity is revealed. The concept of inequality as convexity has an important place in literature, since it provides a broader setting to study the optimization and mathematical programming problems. Therefore, Hermite-Hadamard type inequalities for p-convex stochastic processes and some boundaries for these inequalities are obtained in present study. It is used the concept of mean-square integrability for stochastic processes to obtain the above mentioned results.
关键词：p-convexity; Stochastic process; Hermite-Hadamard type inequality; Mean-square integralibility
