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

页码：909 / 920

页数：12

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