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

被引：11

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

页数：12

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