Integral Inequalities of Hermite-Hadamard Type for Extended s-Convex Functions and Applications

被引：9
|
作者：
Shuang, Ye [1 ]
Qi, Feng [2 ,3 ]
机构：
[1] Inner Mongolia Univ Nationalities, Coll Math, Tongliao 028043, Inner Mongolia, Peoples R China
[2] Henan Polytech Univ, Inst Math, Jiaozuo 454010, Peoples R China
[3] Tianjin Polytech Univ, Coll Sci, Dept Math, Tianjin 300387, Peoples R China
来源：
MATHEMATICS | 2018年 / 6卷 / 11期
基金：
中国国家自然科学基金;
关键词：
extended s-convex function in the second sense; Hermite-Hadamard type inequality; Holder inequality; mean; SIMPSON TYPE;
D O I：
10.3390/math6110223
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In the paper, the authors set up an identity for a function whose third derivative is integrable, establish by the Holder inequality some new integral inequalities of the Hermite-Hadamard type for extended s-convex functions in the second sense, and apply these integral inequalities to construct inequalities for several special means.
引用
收藏
页数：12
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