| 极限lim from n→∞((1 1/n)~n)存在的控制证明 |
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| 作者单位： | 北京联合大学师范学院电子信息系 北京100011 |
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| 摘 要： | 利用初等对称函数的Schur凹性及向量的简单的控制关系,建立了一类关于凹函数的不等n存在的一种简洁的证明。式,作为推论,给出极限lim1 1nn→∞
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| 关 键 词： | 控制 不等式 单调有界 极限 |
Majorzed proof for the existence of limit of ((1 1/n)~n) |
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| SHI Huan-nan. Majorzed proof for the existence of limit of ((1 1/n)~n)[J]. Journal of Yunnan Normal University (Natural Sciences Edition), 2004, 0(2) |
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| Authors: | SHI Huan-nan |
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| Abstract: | Inequalities for the concave function are established using Schur -concatity of the elementary symmetric function and a simple majoricotion relation of the vector . As a consequen the existence of limit of 1 1n~n by is proved, and the course of the proof is brief. |
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| Keywords: | majorization inequality monotonic boundedness limit |
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