收稿日期: 2015-06-01
网络出版日期: 2017-08-30
基金资助
国家自然科学基金资助项目(61374028); 湖北省自然科学基金资助项目(2013CFA131); 三峡大学培优基金资助项目(2015PY075)
Hadamard-type inequalities for a class of (α ,m)-convex functions
Received date: 2015-06-01
Online published: 2017-08-30
首先, 提出了一个新的积分恒等式; 然后, 在此基础上构造了一类二阶导函数的绝对值的q次幂是(α,m)-凸函数的新型Hadamard 型不等式; 最后, 给出了一些具体的应用例子.
关键词： (α,m)-凸函数; Hadamard 型不等式; 凸函数
李玉娇1, 杜廷松1,2 . 一类(α,m)-凸函数的Hadamard 型不等式[J]. 上海大学学报(自然科学版), 2017 , 23(4) : 583 -589 . DOI: 10.12066/j.issn.1007-2861.1716
This paper proposes an integral identity. Based on the identity, some results of Hadamard inequalities are established for functions with the q-th power of the second derivative’s absolute value (α,m)-convex. Some specific applied examples are presented.
Key words： Hadamard-type inequality; (α; m)-convex function; convex function
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