| 函数级数一致收敛的Gauss判别法与对数判别法 |
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| 引用本文： | 徐家斌,马常友.函数级数一致收敛的Gauss判别法与对数判别法[J].内江师范学院学报,2011,26(6):14-17. |
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| 作者姓名： | 徐家斌 马常友 |
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| 作者单位： | 内江师范学院数学与信息科学学院,四川内江,641100 |
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| 摘 要： | 基于将正项级数审敛法推广到函数级数一致收敛上去的思想,类比正项级数的Gauss判别法、对数判别法、拟对数判别法以及它们的极限形式,得到了函数级数一致收敛的相应判别法,丰富了函数级数一致收敛审敛法.
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| 关 键 词： | 函数级数 一致收敛 Gauss判别法 对数判别法 拟对数判别法 |
Gauss Test and Logarithmic Test for the Determination of Uniform Convergence of Function Series |
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| XU Jia-bin,MA Chang-you.Gauss Test and Logarithmic Test for the Determination of Uniform Convergence of Function Series[J].Journal of Neijiang Teachers College,2011,26(6):14-17. |
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| Authors: | XU Jia-bin MA Chang-you |
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| Institution: | XU Jia-bin,MA Chang-you (College of Mathematics and Information Science,Neijiang Normal University,Neijiang,Sichuan 641100,China) |
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| Abstract: | Based on the idea of extending the convergence test for series of positive terms to the uniform convergence of function series,an analogy was made between the Gauss test,Logarithmic test,and Quasi-Logarithmic test and their limiting forms and thus worked out the corresponding test for determining the uniform convergence of function series,which helps enrich the uniform convergence of function series. |
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| Keywords: | function series uniform convergence Gauss test Logarithmic test Quasi-Logarithmic test |
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