| 关于一个不等式的再改进 |
| |
| 引用本文： | 何宗友. 关于一个不等式的再改进[J]. 兰州理工大学学报, 1991, 0(4) |
| |
| 作者姓名： | 何宗友 |
| |
| 作者单位： | 咸阳机器制造学校 |
| |
| 摘 要： | 本文用数学归纳法将该改进后得到的不等式<(n-(m-1)/2-1/n)~m/m!进一步改进为不等式<(n-(m-1)/2-1/(n-2))~m)/m!,并给出证明,使不等式达到更加精确的程度。同时指出,不等式右端1/(n-2)项分母中减数最大值是2,要进一步改进不等式只能从另外的角度考虑。
|
| 关 键 词： | 不等式 二项式定理 精确 数学归纳法 改进 伯努里不等式 Ramsey数 |
On the Further Improvement of an Inequality |
| |
| He Zongyou. On the Further Improvement of an Inequality[J]. Journal of Lanzhou University of Technology, 1991, 0(4) |
| |
| Authors: | He Zongyou |
| |
| Affiliation: | Xianyang Machine-Building School |
| |
| Abstract: | In this paper, a further improvement on an inequalitygiven by [1] to get the inequality ofis conducted by means of theory of mathematical induction,so that the inequality is more accurate. It is shown in this paper at the same time that the greatset magnitude of the subtra-hend in the denominator of the fractionin the right term of the inquality can only by 2.It is necessary to take some other view-point in order to improve the inequality furtheron. |
| |
| Keywords: | inequality binomial theorem accuracy mathemtical induction advance Bernoulli inequality Ramsey numbers |
| 本文献已被 CNKI 等数据库收录！ |
