| 试论级数敛散性的判别法在广义积分中的推广 |
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| 引用本文： | 董振华.试论级数敛散性的判别法在广义积分中的推广[J].安徽电子信息职业技术学院学报,2015(1):53-58. |
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| 作者姓名： | 董振华 |
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| 作者单位： | 泉州经贸职业技术学院慈山分院,福建 泉州,362000 |
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| 摘 要： | 在已有参考文献的基础上,进一步总结、归纳广义积分敛散性的判别条件,通过对已有广义积分敛散性判别条件的研究,尝试改变或减弱某些条件,重点探讨级数敛散性的判别法在广义积分中的推广形式,并对几种典型的广义积分,尝试给出一些新的判别方法。
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| 关 键 词： | 广义积分 级数敛散性 判别法 推广 |
Generalization of Series Convergence Criterions in Improper Integral |
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| DONG Zhen-hua.Generalization of Series Convergence Criterions in Improper Integral[J].Journal of Anhui Vocational College of Electronios & Information Technology,2015(1):53-58. |
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| Authors: | DONG Zhen-hua |
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| Abstract: | The criterions of improper integral convergence are summarized. Ba sed on the existing studies on the criterions of improper integral convergence, some criterions are changed or weakened to study the generalized forms of series convergence criterions in improper integral. Some new criterions are proposed for a few typical improper integrals. |
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| Keywords: | improper integral series convergence criterion generalization |
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