| 关于Jensen不等式加强式的推广及应用 |
| |
| 引用本文： | 吴善和.关于Jensen不等式加强式的推广及应用[J].四川大学学报(自然科学版),2005,42(3):437-443. |
| |
| 作者姓名： | 吴善和 |
| |
| 作者单位： | 龙岩学院数学系,福建,龙岩,364012 |
| |
| 基金项目： | 国家自然科学基金(10271071) |
| |
| 摘 要： | 应用控制不等式理论建立了Jensen不等式加强式的一个推广形式．利用该结果建立了n维欧氏空间E^n中一类单形不等式．它们是已有结果的推广或补充．
|
| 关 键 词： | Jensen不等式 对称函数 Schur凸函数 控制不等式 |
| 文章编号： | 0490-6756(2005)03-0437-07 |
Generalization and Application of Sharpening Jensen's Inequality |
| |
| WU Shan-he.Generalization and Application of Sharpening Jensen's Inequality[J].Journal of Sichuan University (Natural Science Edition),2005,42(3):437-443. |
| |
| Authors: | WU Shan-he |
| |
| Abstract: | By means of the theory of majorization, Jensen's inequality is generalized. As its application, several inequalities for n-dimensional simplexes in Euclidean space E~n is established. Furthermore, some former results are improved and supplemented. |
| |
| Keywords: | Jensen's inequality symmetric function Schur-convex function majorization inequality |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
