New Hermite-Hadamard inequalities for twice differentiable φ-MT-preinvex functions

被引：4
作者：
Zheng, Sheng [1 ]
Du, Ting-Song [1 ]
Zhao, Sha-Sha [1 ]
Chen, Lian-Zi [1 ]
机构：
[1] China Three Gorges Univ, Coll Sci, Yichang 443002, Peoples R China
来源：
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | 2016年 / 9卷 / 10期
基金：
中国国家自然科学基金;
关键词：
phi-MT-preinvex functions; Hermite-Hadamard's integral inequality; Holder's inequality; INTEGRAL-INEQUALITIES; CONVEX-FUNCTIONS; INVEXITY;
D O I：
10.22436/jnsa.009.10.11
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
New Hermite-Hadamard-type integral inequalities for phi-MT-preinvex functions are obtained. Our results in special cases yield some of those results proved in recent articles concerning with the differentiable MT-convex functions. Some applications to special means and the trapezoidal formula are also considered, respectively. (C) 2016 All rights reserved.
引用
收藏
页码：5648 / 5660
页数：13
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