| 广义积分与无穷级数收敛定理 |
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| 引用本文： | 赵延孟 刘绛玉. 广义积分与无穷级数收敛定理[J]. 深圳大学学报(理工版), 1998, 15(1): 16-21 |
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| 作者姓名： | 赵延孟 刘绛玉 |
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| 作者单位： | 深圳大学师范学院数学教育系(赵延孟)，石家庄大学(刘绛玉) |
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| 摘 要： | 指出若ｆ（ｘ）＝Σ∞ｎ＝０ａｎｘｎ，且收敛半径不小于１，则广义积分∫１０ｆ（ｘ）（１－ｘ）ｐｄｘ收敛的充要条件是无穷级数Σｎｐ－１ａｎ１ｎｎ收敛．
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| 关 键 词： | 广义积分；无穷级数；收敛 |
A Theorem for the Convergence of Generalized Integral and Infinite Series |
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| Zhao Yanmeng. A Theorem for the Convergence of Generalized Integral and Infinite Series[J]. Journal of Shenzhen University(Science &engineering), 1998, 15(1): 16-21 |
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| Authors: | Zhao Yanmeng |
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| Affiliation: | Zhao Yanmeng Department of Mathematical Education Normal College Shenzhen University Shenzhen 518060 P.R.China Liu Jiangyu Shi Jiazhuang University Shi Jiazhuang 050081 P.R.China |
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| Abstract: | |
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| Keywords: | generalized integral infinite series convergence |
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