Some Hermite-Hadamard type inequalities for n-time differentiable (α, m)-convex functions

被引：25
|
作者：
Bai, Shu-Ping [3 ]
Wang, Shu-Hong [3 ]
Qi, Feng [1 ,2 ]
机构：
[1] Henan Polytech Univ, Sch Math & Informat, Jiaozuo City 454010, Henan Province, Peoples R China
[2] Tianjin Polytech Univ, Sch Sci, Dept Math, Tianjin 300387, Peoples R China
[3] Inner Mongolia Univ Nationalities, Coll Math, Tongliao City 028043, Inner Mongolia, Peoples R China
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2012年
基金：
中国国家自然科学基金;
关键词：
Hermite-Hadamard's integral inequality; differentiable function; (alpha; m)-convex function;
D O I：
10.1186/1029-242X-2012-267
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the paper, the famous Hermite-Hadamard integral inequality for convex functions is generalized to and refined as inequalities for n-time differentiable functions which are -convex. MSC: 26D15, 26A51, 41A55.
引用
收藏
页数：11
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