| 区间值函数Aumann积分的Riemann型推广 |
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| 引用本文： | 巩增泰,陈得刚.区间值函数Aumann积分的Riemann型推广[J].西北师范大学学报,1999,35(3):34-39. |
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| 作者姓名： | 巩增泰 陈得刚 |
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| 作者单位： | 西北师范大学数学系(巩增泰)，哈尔滨工业大学数学系(陈得刚) |
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| 摘 要： | 给出了区间值函数的Ｒｉｅｍａｎｎ型积分定义，它是直线上Ａｕｍａｎｎ积分的推广．并利用实值函数的广义黎曼积分———Ｈｅｎｓｔｏｃｋ积分对其进行了刻划．
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| 关 键 词： | 区间值函数 Henstock-Aumann积分 Henstock积分 |
| 文章编号： | 1001-988X(1999)03-0034-06 |
| 修稿时间： | 1998-09-01 |
The Riemannian type extension of Aumann integrals for the interval-valued functions |
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| GONG Zeng-tai,CHEN De-gang.The Riemannian type extension of Aumann integrals for the interval-valued functions[J].Journal of Northwest Normal University Natural Science (Bimonthly),1999,35(3):34-39. |
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| Authors: | GONG Zeng-tai CHEN De-gang |
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| Institution: | GONG Zeng-tai |
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| Abstract: | The definitions of Henstock integrals for interval valued functions are given,which is a Riemannian type extension of Aumann integrals.Some characteristic theorems are also given by means of Henstock integrals of the real valued functions. |
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| Keywords: | interval valued functions Henstock Aumann integrals Henstock integrals |
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