| 正项级数的广义Cauchy判别法 |
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| 引用本文： | 霍守诚.正项级数的广义Cauchy判别法[J].中国石油大学学报(自然科学版),1992(5). |
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| 作者姓名： | 霍守诚 |
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| 作者单位： | 石油大学数理系 |
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| 摘 要： | 对正项级数的Cauchy,判别法作了推广,得出正项级数的广义Cauchy判别法.使原来的Cauchy判别法成为该判别之特例,从而扩大了它的使用范围.
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| 关 键 词： | 正项级数 Cauchy判别法 收敛性 |
GENERALIZED CAUCHY'S CRITERION FOR POSITIVE SERIES |
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| Huo Shoucheng.GENERALIZED CAUCHY''''S CRITERION FOR POSITIVE SERIES[J].Journal of China University of Petroleum,1992(5). |
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| Authors: | Huo Shoucheng |
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| Institution: | Dept. of Mathematics and Physics |
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| Abstract: | This paper extends Cauchy's criterion for positive series to obtain a generalized Cauchy's criterion. The former method is a special case of the new one. Thus, the application range of Cauchy's criterion is greatly extended. |
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| Keywords: | Positive series Cauchy's criterion Convergence |
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