| 正项级数审敛法的研究进展 |
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| 引用本文： | 张永明,田益民,王丹.正项级数审敛法的研究进展[J].北京印刷学院学报,2006,14(2):38-39. |
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| 作者姓名： | 张永明 田益民 王丹 |
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| 作者单位： | 北京印刷学院,基础部,北京,102600;北京印刷学院,基础部,北京,102600;北京印刷学院,基础部,北京,102600 |
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| 摘 要： | 正项级数的审敛法在级数的审敛法中占有十分重要的地位.常见的关于正项级数的审敛法共有7种,分别是比较判别法,达朗贝尔判别法,柯西判别法,拉阿伯判别法,高斯判别法,柯西积分判别法和对数判别法.介绍正项级数审敛法的最新研究进展情况,与常见的审敛法作了比较,给出对数判别法的极限形式.
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| 关 键 词： | 正项级数 Z-判别法 QS-判别法 对数判别法 |
| 文章编号： | 1004-8626（2006）02-0038-02 |
| 收稿时间： | 2005-10-20 |
| 修稿时间： | 2005-10-20 |
Advance on convergence test for series of positive terms |
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| ZHANG Yong-ming,TIAN Yi-min,WAN Dan.Advance on convergence test for series of positive terms[J].Journal of Beijing Institute of Graphic Communication,2006,14(2):38-39. |
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| Authors: | ZHANG Yong-ming TIAN Yi-min WAN Dan |
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| Affiliation: | Beijing Institute of Graphic Communication, Beijing 102600, China |
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| Abstract: | The convergence tests for series of positive terms are very important about the problem of the convergence tests for series.There are seven convergence tests for series of positive terms,which is called comparison test,D'Alembert test,Cauchy test,Raabe test,Gauss test,Cauchy integral test,Logarithm test.On series of positive terms,two new convergence tests are presented recently,which new advance is introduced here,the connection between the new and old tests is presented.And the limit form of the Logarithm test is presented. |
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| Keywords: | series of positive terms Z-test QS test Logarithm test |
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