| 数学分析中"一致收敛"概念的推广及其应用 |
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| 引用本文： | 汪文珑.数学分析中"一致收敛"概念的推广及其应用[J].绍兴文理学院学报,2004,24(7):6-8. |
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| 作者姓名： | 汪文珑 |
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| 作者单位： | 绍兴文理学院,数学系,浙江,绍兴,312000 |
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| 摘 要： | 将数学分析中一致收敛性的概念加以推广，分别对函数项级数和含参量积分引入次一致收敛的概念，证明了函数项级数、含参量非正常积分连续性的充要条件和可微性的充分条件，推广了数学分析中的相应结论．
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| 关 键 词： | 数学分析 次一致收敛 连续 可微 函数项级数 |
| 文章编号： | 1008-293X(2004)07-0006-03 |
| 修稿时间： | 2004年2月13日 |
Generalization and application of the uniformly convergence in mathematical analysis |
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| Wang Wenlong.Generalization and application of the uniformly convergence in mathematical analysis[J].Journal of Shaoxing College of Arts and Sciences,2004,24(7):6-8. |
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| Authors: | Wang Wenlong |
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| Abstract: | In this paper we study the generalization of the uniformly convergence in mathematical analysis,quote the concept of second uniformly convergence to functional series and integral with parameter.Furthermore,we obtain a sufficient and necessary condition about continuity of functional series and integral with parameter,and show the sufficient condition about differential. |
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| Keywords: | uniformly convergence second uniformly convergence continuity differential |
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