| 建立不等式的降维方法(Ⅰ) |
| |
| 引用本文： | 文家金,王挽澜,路应金,张勇. 建立不等式的降维方法(Ⅰ)[J]. 西南民族学院学报(自然科学版), 2003, 29(5) |
| |
| 作者姓名： | 文家金 王挽澜 路应金 张勇 |
| |
| 作者单位： | 成都大学数学与计算机科学系 成都610106(文家金，王挽澜)，电子科技大学 成都610054(路应金)，成都大学数学与计算机科学系 成都610106(张勇) |
| |
| 基金项目： | 成都大学科研和教改项目 |
| |
| 摘 要： | 使用一种称为降维法的新方法建立一些著名不等式,包含算术平均-几何平均不等式、马克劳林不等式、切比雪夫不等式和琴生不等式.通过这些论证可以看出,这种新近发展的方法在建立不等式的研究中能够广泛地应用.也可以看出,此种方法有别于另外一些归纳技巧.
|
| 关 键 词： | 降维法 不等式 著名不等式 优点 |
The methodof descending dimension for establishing inequalities ( Ⅰ ) |
| |
| WEN Jia-jin,WANG Wan-Ian,LU Ying-jin,ZHANG Yong. The methodof descending dimension for establishing inequalities ( Ⅰ )[J]. Journal of Southwest Nationalities College(Natural Science Edition), 2003, 29(5) |
| |
| Authors: | WEN Jia-jin WANG Wan-Ian LU Ying-jin ZHANG Yong |
| |
| Abstract: | We use a new method that is called the method of descending dimension to establish some well-known inequalities, including the arithmetic mean-geometric mean, Maclaurin's, Cebysev's and Jensen's inequalities. Via these arguments, we can observe that the newly developed method is widely used in studies of establishing inequalities. We can also observe that the method is constructed in a form somewhat differing from that of other technique of induction used for proving inequalities. |
| |
| Keywords: | descending dimension method inequality famous inequalities advantage |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
