| (δ)集值测度及弱集值测度的收敛性 |
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| 引用本文： | 张玲,徐明跃,赵冬霞.(δ)集值测度及弱集值测度的收敛性[J].哈尔滨师范大学自然科学学报,2010,26(1):26-29. |
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| 作者姓名： | 张玲 徐明跃 赵冬霞 |
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| 作者单位： | 1. 大庆师范学院
2. 哈尔滨师范大学 |
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| 基金项目： | 大庆师范学院青年基金资助项目 |
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| 摘 要： | 研究了(δ)集测测度与弱集值测度的收敛性,利用了极限理论的方法.在M(A)=s-liminfn→∞Mn(A);Mn为有界变差的集值测度;且|Mn|(A)C(C与n无关)M(∪∞i=1Ai)=cl∑∞i=1M(Ai)条件下获得了(δ)集值测度的极限仍然是(δ)集值测度及弱集值测度的极限仍然是弱集值测度,建立了(δ)集值测度与弱集值测度的极限理论.
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| 关 键 词： | （δ）集值测度 弱集值测度 有界变差集值测度 |
The Convergence of (ξ)Set-valued Measures and Weak Set-valued Measuesand Weak Set-valued Measures |
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| Zhang Ling,Xu Mingyue,Zhao Dongxia.The Convergence of (ξ)Set-valued Measures and Weak Set-valued Measuesand Weak Set-valued Measures[J].Natural Science Journal of Harbin Normal University,2010,26(1):26-29. |
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| Authors: | Zhang Ling Xu Mingyue Zhao Dongxia |
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| Institution: | 1.Daqing Normal University;2.Harbin Normal University) |
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| Abstract: | In this paper,The convergence of（δ） set-valued measures and weak set-valued measure is discussed by applying the methods of limit theories.The limit of（δ） set-valued measures is still a（δ） set-valued measures,the limit of weak set-valued measures is still a weak set-valued measure under M（A）=s-lim infn→∞Mn（A）;Mn（A）;Mn is Bunded Variation Setvalued Measure;and Mn｜（A）C（C and n without relation） M∪∞i=1Ai）=cl∑∞i=1M（Ai） conditions.The limit theorem of（δ） delta set-valued measures and weak set-valued measure is offered. |
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| Keywords: | （δ）Set-valued Measure Weak Set-valued measure Bounded Variation Set-valued Measure |
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