| 求一类多重积分极限的概率方法 |
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| 引用本文： | 韩家俊,申广君.求一类多重积分极限的概率方法[J].安徽师范大学学报(自然科学版),2007,30(4):442-446. |
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| 作者姓名： | 韩家俊 申广君 |
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| 作者单位： | 安徽师范大学,数学计算机科学学院,安徽,芜湖,241003 |
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| 基金项目： | 安徽省教育厅自然科学基金 |
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| 摘 要： | 文献1]和文献2]举例说明了运用概率思想求多重积分极限方面的应用,本文综合应用依概率收敛和控制收敛定理等概率知识,推广文献2]的定理,给出求解一类多重积分极限的一般性定理.并举例说明,运用定理解决此类多重积分极限的优越性.
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| 关 键 词： | 多重积分的极限 依概率收敛 控制收敛定理 |
| 文章编号： | 1001-2443（2007）04-0442-05 |
| 收稿时间： | 2006-06-19 |
| 修稿时间： | 2006-06-19 |
Probability Method Solving the Limit of a Class of Multi-Integral |
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| HAN Jia-jun,SHEN Guang-jun.Probability Method Solving the Limit of a Class of Multi-Integral[J].Journal of Anhui Normal University(Natural Science Edition),2007,30(4):442-446. |
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| Authors: | HAN Jia-jun SHEN Guang-jun |
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| Institution: | College of Mathematics and Computer Science, Anhui Normal University, Wuhu 241003, China |
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| Abstract: | Paper 1] and 2] illustrated the application of the probability idea in the limit of multi-integral.This paper applying probability knowledge,such as convergence in probability and control convergence theorem,generalizes the theorem in paper 2],obtains the general theorem of solving the limit of a class of multi-integral,and states the priority of using the theorem through the concrete example. |
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| Keywords: | the limit of multi-integral convergence in probability control convergence theorem |
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