| 与GM凸函数有关的若干积分不等式 |
| |
| 引用本文： | 时统业,李鼎,李军.与GM凸函数有关的若干积分不等式[J].井冈山大学学报（自然科学版）,2017(3):13-18. |
| |
| 作者姓名： | 时统业 李鼎 李军 |
| |
| 作者单位： | 海军指挥学院信息系, 江苏 南京, 211800,海军指挥学院信息系, 江苏 南京, 211800,海军指挥学院信息系, 江苏 南京, 211800 |
| |
| 摘 要： | 利用GM凸函数与GA凸函数的关系,证明了GM凸函数存在单侧导数,并通过不等式建立了GM凸函数与其单侧导数的联系。给出GA凸函数的左(右)导数积分的计算公式。用普通数学分析的方法建立了若干GM凸函数的积分不等式。
|
| 关 键 词： | GM凸函数 GA凸函数 积分不等式 |
| 收稿时间： | 2016/10/13 0:00:00 |
| 修稿时间： | 2017/3/2 0:00:00 |
INTEGRAL INEQUALITIES RELATED TO GM-CONVEX FUNCTIONS |
| |
| SHI Tong-ye,LI Ding and LI Jun.INTEGRAL INEQUALITIES RELATED TO GM-CONVEX FUNCTIONS[J].Journal of Jinggangshan University(Natural Sciences Edition),2017(3):13-18. |
| |
| Authors: | SHI Tong-ye LI Ding and LI Jun |
| |
| Institution: | Department of Information, PLA Naval Command College, Nanjing, 211800, China,Department of Information, PLA Naval Command College, Nanjing, 211800, China and Department of Information, PLA Naval Command College, Nanjing, 211800, China |
| |
| Abstract: | With the aid of the relationship between GM-convex functions and GA-convex functions,the existence of unilateral derivatives of GM-convex functions is proved,and the relation between GM-convex function and its unilateral derivative is established through inequalities. Calculating formulas of left or right derivative integration of GA-convex function are given. Integral inequalities for GM-convex functions are obtained by using mathematical analysis. |
| |
| Keywords: | GM-convex function GA-convex function integral inequality |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《井冈山大学学报（自然科学版）》浏览原始摘要信息 |
| 点击此处可从《井冈山大学学报（自然科学版）》下载免费的PDF全文 |
|
