| 函数项级数中狄利克雷判别法的必要性 |
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| 引用本文： | 崔艳兰,张婷.函数项级数中狄利克雷判别法的必要性[J].延安大学学报(自然科学版),2006,25(4):1-3. |
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| 作者姓名： | 崔艳兰 张婷 |
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| 作者单位： | 延安大学,数学与计算机科学学院,陕西,延安,716000 |
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| 摘 要： | 利用两个辅助函数，论证了函数项级数∞∑n=1un（x）在区间a，b]上存在分解式时狄利克雷判别法的必要性。从而得出了在一般项级数中和无穷限积分中狄利克雷判别法的类似的必要性成立的定理。
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| 关 键 词： | 辅助函数 函数项级数 狄利克雷判别法 |
| 文章编号： | 1004-602X（2006）04-0001-03 |
| 收稿时间： | 2006-07-10 |
| 修稿时间： | 2006年7月10日 |
On Necessity of Solutions about Dirichlet Experimental Method in Functional Series |
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| CUI Yan-lan,ZHANG Ting.On Necessity of Solutions about Dirichlet Experimental Method in Functional Series[J].Journal of Yan'an University(Natural Science Edition),2006,25(4):1-3. |
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| Authors: | CUI Yan-lan ZHANG Ting |
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| Institution: | Department of Mathematics and Computer Science ,Yanan University, Yanan ,Shaanxi 716000 |
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| Abstract: | This article is supplying a way to prove the necessity about dirichlet experimental method in functional series. Then give a theorem of the sufficiency and necessity condition about the uniform convergence in functional series and some inferences about dirichlet experimental method in number series and infinite integral. |
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| Keywords: | auxiliary function functional series dirichlet experimental method |
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