| 反常积分敛散性极限审敛法的等价定理 |
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| 引用本文： | 边平勇.反常积分敛散性极限审敛法的等价定理[J].山东理工大学学报,2006,20(1):36-38. |
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| 作者姓名： | 边平勇 |
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| 作者单位： | 山东科技大学公共课部 山东泰安271019 |
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| 摘 要： | 将无穷积分及无界函数积分的被积函数运用无穷小和无穷大比较的方法进行比较,得到了相应的反常积分敛散性极限审敛法的等价定理,并给予证明,从而可运用等价定理灵活的判断反常积分的敛散性.
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| 关 键 词： | 反常积分 极限审敛法 低阶无穷小 高阶无穷大 有界 |
| 文章编号： | 1672-6197(2006)01-0036-03 |
| 收稿时间： | 05 19 2005 12:00AM |
| 修稿时间： | 2005年5月19日 |
An equivalence theorem of criterion of convergence of abnormal integral |
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| BIAN Ping-yong.An equivalence theorem of criterion of convergence of abnormal integral[J].Journal of Shandong University of Technology:Science and Technology,2006,20(1):36-38. |
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| Authors: | BIAN Ping-yong |
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| Institution: | Publie Class Department, Shandong University of Seienee and Technology, Taian 271019, China |
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| Abstract: | This article compared the integrand of infinite integral and unbounded function integral by comparing the infinitesimal with the infinity,obtained the corresponding equivalence theorem of criterion of convergence of abnormal integral,and gave out the proof.Thus we can use the equivalence theorem to judge convergence of abnormal integral. |
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| Keywords: | abnormal integral cniterion of cimit converg ence lower order the infinitesimal higher order infinity bounded |
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