| 二重极限与一致收敛的等价性 |
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| 引用本文： | 沈晓斌.二重极限与一致收敛的等价性[J].泉州师范学院学报,2005,23(4):11-15. |
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| 作者姓名： | 沈晓斌 |
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| 作者单位： | 泉州师范学院,数学系,福建,泉州,362000 |
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| 摘 要： | 通过研究二重极限与累次极限、一致收敛与累次极限的关系，证明了二重极限存在与一致收敛在一定条件下的等价性，利用等价性。得到了一个与《高等几何》类似的对偶原理，并且利用对偶原理采用两种不同的方法讨论了极限函数的一些分析性质。
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| 关 键 词： | 一致收敛 二重极限 二次极限 对偶原理 等价性 |
| 文章编号： | 1009-8224(2005)04-0011-05 |
| 收稿时间： | 03 18 2005 12:00AM |
| 修稿时间： | 2005年3月18日 |
The Equivalence Relation of Double Limit and Uniform Convergence |
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| SHEN Xiao-bin.The Equivalence Relation of Double Limit and Uniform Convergence[J].Journal of Quanzhou Normal College,2005,23(4):11-15. |
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| Authors: | SHEN Xiao-bin |
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| Institution: | Department of Mathematics Quanzhou Normal University, Fujian 362000, China |
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| Abstract: | Under the certain condition, the equivalence relation of double limit and uniform convergence is proved through studying the relation of double limit and iterated limit, uniform convergence and iterated limit. Duality principle of analogy Higher Geometry is given by the equivalence relation. Some analytic properties of limit function are studied by it. |
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| Keywords: | uniform convergence double limit iterated limit duality principle equivalence relation |
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