| 关于一个不等式的改进 |
| |
| 引用本文： | 王柏岩. 关于一个不等式的改进[J]. 兰州理工大学学报, 1988, 0(3) |
| |
| 作者姓名： | 王柏岩 |
| |
| 作者单位： | 甘肃工业大学基础课教学研究部 |
| |
| 摘 要： | 不等式()<是正确的并已得到应用。本文是将此不等式改进为不等式()<,并用数学归纳法原理予以证明是完全正确的,以使不等式达到进一步地精确程度。
|
| 关 键 词： | 数学归纳法 二项式定理 |
On the Improvement of an Inequality |
| |
| Wang Baiyan. On the Improvement of an Inequality[J]. Journal of Lanzhou University of Technology, 1988, 0(3) |
| |
| Authors: | Wang Baiyan |
| |
| Affiliation: | Wang Baiyan Department of Basic Courses Teaching |
| |
| Abstract: | The inequality(nm)<(n-m-1/2)m/ml is valid, and has some applica-tions. In this paper, we make an improvement of the inequality to the (nm)<(n-m-1/2-1/n)m/ml and give a proof by means of theoryof mathematical induction, so that the inequality is more accurate. |
| |
| Keywords: | mathematical induction binomial theorem |
| 本文献已被 CNKI 等数据库收录！ |
