Some inequalities of Hermite-Hadamard type for functions whose second derivatives are (α, m)-convex

被引：6

作者：

Shuang, Ye ^{[1
]}

Qi, Feng ^{[2
]}

Wang, Yan ^{[1
]}

机构：

[1] Inner Mongolia Univ Nationalities, Coll Math, Tongliao City, Inner Mongolia, Peoples R China

[2] Tianjin Polytech Univ, Coll Sci, Dept Math, Tianjin 300160, Peoples R China

来源：

JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | 2016年 / 9卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Hermite-Hadamard type inequality; (alpha; m)-convex function; second derivative; Holder integral inequality; DIFFERENTIABLE MAPPINGS;

D O I：

10.22436/jnsa.009.01.13

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the paper, the authors establish a new integral identity and by this identity with the Holder integral inequality, discover some new Hermite-Hadamard type integral inequalities for functions whose second derivatives are (alpha, m)-convex. (C) 2016 All rights reserved.

引用

页码：139 / 148

页数：10

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