Hermite-Hadamard type inequalities for p-convex stochastic processes

An International Journal of Optimization and Control: Theories & Applications

article

Nurgul Okur¹  Imdat Işcan¹  Emine Yuksek Dizdar¹ 

[1] Giresun University

关键词: p-convexity;    Stochastic process;    Hermite-Hadamard type inequality;    Mean-square integralibility;   

DOI  :  10.11121/ijocta.01.2019.00602

学科分类：地球科学(综合)

来源: Balikesir University

【 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.

【 授权许可】

CC BY