| 关于一个不等式的改进 |
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| 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(3). |
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| 作者姓名： | 王柏岩 |
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| 作者单位： | 甘肃工业大学基础课教学研究部 |
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| 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。
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| 关 键 词： | 数学归纳法 二项式定理 |
On the Improvement of an Inequality |
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| Wang Baiyan.On the Improvement of an Inequality[J].Journal of Lanzhou University of Technology,1988(3). |
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| Authors: | Wang Baiyan |
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| Institution: | Wang Baiyan Department of Basic Courses Teaching |
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| 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 theory
of mathematical induction, so that the inequality is more accurate. |
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| Keywords: | mathematical induction binomial theorem |
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