| 有界闭凸值测度的集值积分 |
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| 引用本文： | 陈建斌,王拉省.有界闭凸值测度的集值积分[J].纯粹数学与应用数学,2007,23(3):329-336. |
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| 作者姓名： | 陈建斌 王拉省 |
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| 作者单位： | 西安工程大学理学院,陕西,西安,710048;西安工程大学理学院,陕西,西安,710048 |
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| 基金项目： | 陕西省教育厅资助项目，西安工程大学校管项目 |
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| 摘 要： | 引入实值函数关于有界闭凸值测度的集值积分,并讨论了集值积分的收敛定理,证明了当集值测度为有界闭凸集值的有界变差集值测度时,关于弱紧凸集值测度的积分性质对有界闭凸集值测度仍然保持.推广了实值函数关于弱紧凸值测度的积分.
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| 关 键 词： | 集值Bartle积分 有界变差集值测度 集值测度弱收敛 |
| 文章编号： | 1008-5513（2007）03-0329-08 |
| 修稿时间： | 2005-05-16 |
The Set value integrals with respect to Set valued measure |
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| CHEN Jianbin,WANG Lasheng.The Set value integrals with respect to Set valued measure[J].Pure and Applied Mathematics,2007,23(3):329-336. |
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| Authors: | CHEN Jianbin WANG Lasheng |
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| Abstract: | In this paper,the set valued Bratle integral of real valued functions with respect to bounded closed convex-valued measure is defined,and the properties of this integral on bounded closed convex-valued measure are discussed.The properties of integrals are shown to coincide in weakly compact set valued measure.Finally,we obtain the convergence theory of set valued integrals. |
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| Keywords: | set value Bartle integal set valued measure of bounded variation weakly convergence of set valued measure |
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