| 琴生不等式的高维推广 |
| |
| 引用本文： | 李世杰,吴光耀,单宝良.琴生不等式的高维推广[J].安徽广播电视大学学报,2005(3):119-121,128. |
| |
| 作者姓名： | 李世杰 吴光耀 单宝良 |
| |
| 作者单位： | 1. 衢州市教育局,浙江,衢州,324002
2. 衢州职业技术学院,浙江,衢州,324000 |
| |
| 摘 要： | 将琴生（Jensen）不等式作了高维推广，并由它得到了m维空间的一系列不同类型的函数不等式，它们是算术——几何平均值不等式、柯西不等式的联合推广。
|
| 关 键 词： | 琴生不等式 函数不等式 高维推广 |
| 文章编号： | 1008-6021（2005）03-0119-03 |
| 收稿时间： | 2005-04-10 |
| 修稿时间： | 2005-04-10 |
Higher Dimensional Generalization of Jensen's Inequality |
| |
| LI Shi-jie,WU Guang-yao,SHAN Bao-liang.Higher Dimensional Generalization of Jensen''''s Inequality[J].Journal of Anhui Television University,2005(3):119-121,128. |
| |
| Authors: | LI Shi-jie WU Guang-yao SHAN Bao-liang |
| |
| Abstract: | The higher dimensional generalization of Jensen' inequality is established, As by-products,a series of different function inequalities on m-dimensional space are obtained which extend the A-G mean inequality and Cauchy's inequality. |
| |
| Keywords: | Jensen's inequality function inequality higher dimensional generalization |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
