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。
In this paper, a further improvement on an inequality
given by [1] to get the inequality of
is 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 fraction
in 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 further
on.
出处
《甘肃工业大学学报》
1991年第4期100-105,共6页
Journal of Gansu University of Technology
关键词
不等式
二项式定理
数学归纳法
inequality, binomial theorem, accuracy, mathemtical induction, advance, Bernoulli inequality, Ramsey numbers
