| 无穷级数新的积分判别法 |
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| 引用本文： | 匡继昌.无穷级数新的积分判别法[J].北京教育学院学报(自然科学版),2014(1):1-4. |
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| 作者姓名： | 匡继昌 |
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| 作者单位： | 湖南师范大学数学与计算机科学学院,长沙410081 |
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| 摘 要： | 利用有界变差函数的性质,建立了比Cauchy积分判别法更广泛的新的积分判别法;利用实分析中的Lebesgue逐项积分定理,推广了文献7]中一个数项级数收敛性判别法.
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| 关 键 词： | 无穷级数 积分判别法 有界变差函数 |
New Integral Test for Convergence of Infinite Series |
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| Kuang Jichang.New Integral Test for Convergence of Infinite Series[J].Journal of Beijing Institute of Education,2014(1):1-4. |
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| Authors: | Kuang Jichang |
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| Institution: | Kuang Jichang(Department of Mathematics,Hunan Normal University,Changsha Hunan 410081, China) |
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| Abstract: | In this paper we employ a new technique based on some properties of the functions ofbounded variation, new integral test for convergence of infinite series is established. By the use of theLebesgue term by term integration theorem, a new convergence test of infinite series is given. |
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| Keywords: | infinite series integral test function of bounded variation |
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