| 关于集值Bartle积分新的极限定理 |
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| 引用本文： | 毛志勇,李琳琳,高菲菲,韩猛.关于集值Bartle积分新的极限定理[J].数学的实践与认识,2020(7):263-272. |
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| 作者姓名： | 毛志勇 李琳琳 高菲菲 韩猛 |
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| 作者单位： | 内蒙古财经大学统计与数学学院 |
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| 基金项目： | 国家自然科学基金(71763020);内蒙古自然科学基金(2018MS07021)。 |
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| 摘 要： | 给出集值Bartle积分一个新的定义,并进一步讨论了数值函数关于有界闭凸集值可数可加集值测度的积分的性质,建立了集值Bartle积分的新的极限定理.
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| 关 键 词： | 向量测度 Bartle积分 集值测度 集值测度的选择 集值Bartle积分 |
A New Limit Theorems for Set-Valued Bartle Integrals |
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| MAO Zhi-yong,LI Lin-lin,GAO Fei-fei,HAN Meng.A New Limit Theorems for Set-Valued Bartle Integrals[J].Mathematics in Practice and Theory,2020(7):263-272. |
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| Authors: | MAO Zhi-yong LI Lin-lin GAO Fei-fei HAN Meng |
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| Institution: | (School of Statistics and Mathematics,Inner Mongolia University of Finance and Econpmics,Hohhot 010070,China) |
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| Abstract: | A new definition of set-valued Bartle integral is presented.The integral properties for scalar function with respect to a bounded,closed convex set valued and countable additive measure is explored.Finally,a new limit theorem of set-valued Bartle integral is obtained. |
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| Keywords: | vector measure Bartle integral set-valued measure selector of set-valued measure set-valued Bartle integral |
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