On Hermite-Hadamard inequality for -convex stochastic processes

被引：0
|
作者：
Li, Libo [1 ]
Hao, Zhiwei [2 ]
机构：
[1] Hunan Univ, Sch Business, Changsha 410082, Hunan, Peoples R China
[2] Cent S Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China
来源：
AEQUATIONES MATHEMATICAE | 2017年 / 91卷 / 05期
关键词：
h-convex stochastic processes; Mean square integrable stochastic; Hermite-Hadamard inequality;
D O I：
10.1007/s00010-017-0488-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate the Hermite-Hadamard type inequality for the class of some h-convex stochastic processes, which is an extension of the Hermite-Hadamard inequality given by Barraez et al. (Math. AEterna 5:571-581, 2015). We also provide the estimates of both sides of the Hermite-Hadamard type inequality for h-convex stochastic processes, where h is any non-negative function with h(t) + h(1 - t) <= 1 for 0 <= t <= 1.
引用
收藏
页码：909 / 920
页数：12
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