| 非负无穷积分与级数之间敛散性的关系与应用 |
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| 引用本文： | 郑宝杰,孔波.非负无穷积分与级数之间敛散性的关系与应用[J].河南教育学院学报(自然科学版),2009,18(4):5-6,9. |
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| 作者姓名： | 郑宝杰 孔波 |
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| 作者单位： | 河南教育学院数学系,河南郑州,450046 |
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| 基金项目： | 河南省高校精品课程数学分析成果 |
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| 摘 要： | 对数学分析一道题目进行了推广，根据推广后的命题得到被积函数为非负函数的无穷积分与级数之间敛散性的内在联系，并举例说明这种联系的应用．
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| 关 键 词： | 无穷积分 级数 收敛 发散 |
Relation and Application of Convergence and Divergence Between Nonnegative Infinite Integral and Series |
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| ZHENG Baojie,KONG Bo.Relation and Application of Convergence and Divergence Between Nonnegative Infinite Integral and Series[J].Journal of Henan Education Institute(Natural Science Edition),2009,18(4):5-6,9. |
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| Authors: | ZHENG Baojie KONG Bo |
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| Institution: | (Department of Mathematics, Henan Institute of Education, Zhengzhou 450046, China) |
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| Abstract: | Generalized a problem of mathematical analysis, then obtained inherent connection of convergence and divergence between the infinite integral whose integrand is nonnegative and series according to generalized propositions. Finally, illustrated to explain the application of the connection. |
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| Keywords: | infinite integral series convergence divergence |
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