| 多项交错级数敛散性的判定方法 |
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| 引用本文： | 蔺小林,李仲博,刘侃. 多项交错级数敛散性的判定方法[J]. 陕西科技大学学报, 2013, 0(2): 150-154,166 |
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| 作者姓名： | 蔺小林 李仲博 刘侃 |
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| 作者单位： | 陕西科技大学电气与信息工程学院;陕西铜川工业技师学院;陕西省商业学校 |
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| 基金项目： | 陕西科技大学博士科研启动基金项目(BJ10-23) |
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| 摘 要： | 对多项交错级数及广义交错级数的敛散性进行了详细深入的讨论，把适用于交错级数的一些判别方法推广到多项交错级数及广义交错级数上来，应用这些判别方法能比较容易地判断多项交错级数及广义交错级数是绝对收敛、条件收敛还是发散．
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| 关 键 词： | 双项交错级数 多项交错级数 广义交错级数 条件收敛 绝对收敛 发散 |
On the convergence criteria for multi-alternating series |
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| LIN Xiao-lin,LI Zhong-bo,LIU Kan. On the convergence criteria for multi-alternating series[J]. Journal of Shaanxi University of Science & Technology(Natural Science Edition), 2013, 0(2): 150-154,166 |
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| Authors: | LIN Xiao-lin LI Zhong-bo LIU Kan |
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| Affiliation: | 1,3(1.College of Electrical and Information Engineering,Shaanxi University of Science & Technology,Xi′an 710021,China;2.Tongchuan Industry and Technician College,Tongchuan 727000,China;3.Shaanxi Commercial School,Hanzhong 723000,China) |
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| Abstract: | In this paper, the convergence and divergence of ally alternating series have been discussed. Some criterion multi-alternating series and gener s for the convergence of muhi-al ternating series and generally alternating series are given. With these results ,it can be easily lternating series is absolutelyconvergent, conditionally convergent or divergent. |
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| Keywords: | double-alternating series multi-alternating series general alternating seriesconditional convergence~ absolute convergence~ divergence |
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