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| 集值函数的收敛定理 | |
| 引用本文： | 李桂玲,陈建林,陈静,张好治.集值函数的收敛定理[J].宁波职业技术学院学报,2007,11(2):18-19,26. |
| 作者姓名： | 李桂玲 陈建林 陈静 张好治 |
| 作者单位： | 1. 莱阳农学院,理学院,山东,青岛,266109 2. 中国海洋大学,经济学院,山东,青岛,266003 3. 青岛大学,数学科学学院,山东,青岛,266071 |
| 摘 要： | 利用单调集函数的零集伪连续和伪零集连续这两个性质,给出了单调测度空间上闭集值可测函数序列的两种类型的Lebesgue定理,进一步推广了相关结果。 |
| 关 键 词： | 单调集函数 零集伪连续 伪零集连续 闭集值函数 Lebesgue定理 |
| 文章编号： | 1671-2153（2007）02-0018-02 |
| 修稿时间： | 2006-12-22 |
Convergence theorems of set-valued functions |
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| LI Gui-Ling,CHEN Jian-lin,CHEN Jing,ZHANG Hao-Zhi.Convergence theorems of set-valued functions[J].Journal of Ningbo Polytechnic,2007,11(2):18-19,26. | |
| Authors: | LI Gui-Ling CHEN Jian-lin CHEN Jing ZHANG Hao-Zhi |
| Institution: | 1 .Department of Science, Lai Yang Agriculture College,Qingdao 266109, China; 2.College of Economics, Ocean University of China,Qingdao 266071, China; 3.Department of Mathematics and Informations, Qingdao University,Qingdao 266071, China |
| Abstract: | In this paper,using the pseudo-continuity of null set and continuity of pseudo-null set of non-additive set functions,two forms Lebesgue theorem about measurable closed-valued functions on monotone measure space are given,respectively.These results can be regarded as the generalization of the corresponding ones in both classical measure theory and fuzzy measure theory. |
| Keywords: | monotone set function pseudo-continuity of null set continuity of pseudo-null set closed-valued function Lebesgue theorem |
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