| 双比值判别法与对数判别法的比较 |
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| 引用本文： | 杨钟玄.双比值判别法与对数判别法的比较[J].四川师范大学学报(自然科学版),2004,27(1):57-60. |
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| 作者姓名： | 杨钟玄 |
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| 作者单位： | 天水师范学院,数学系,甘肃,天水,741001 |
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| 摘 要： | 双比值判别法是近年来提出的判别正项级数敛散性的一种新方法，它强于传统的达朗贝尔判别法与拉贝判别法．关于双比值判别法与对数判别法的强弱关系问题是值得探讨的．通过对这两种判别法中所含极限的存在性关系的研究，可以得出对数判别法强于双比值判别法的结论．
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| 关 键 词： | 正项级数 收敛 发散 判别法 |
| 文章编号： | 1001-8395(2004)01-0057-04 |
| 修稿时间： | 2003年7月18日 |
The Comparison between Double Ratio Methods and Logarithmic Criteria |
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| YANG Zhong-xuan.The Comparison between Double Ratio Methods and Logarithmic Criteria[J].Journal of Sichuan Normal University(Natural Science),2004,27(1):57-60. |
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| Authors: | YANG Zhong-xuan |
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| Abstract: | Double retio method is a new method raised recently to judge convergence and divergence of positive series. It is more powerful than traditional D'Alembert judge method and Laabe judge method. It is worth to consider the ralationship between double ratio method and logarithmic criterion. By studying the relation of the existence of limits in these two criteria. It is proved that the logarithmic criterion is stronger than the double ratio method. |
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| Keywords: | Positive series Convergence Divergence Judge method |
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