| (R)可积函数列逐项积分的充要条件 |
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| 引用本文： | 孔芳弟,陈金淑.(R)可积函数列逐项积分的充要条件[J].兰州理工大学学报,2006,32(6):152-153. |
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| 作者姓名： | 孔芳弟 陈金淑 |
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| 作者单位： | 兰州理工大学,理学院,甘肃,兰州,730050 |
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| 基金项目： | 兰州理工大学校科研和教改项目 |
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| 摘 要： | 通过对点态收敛(R)可积函数列积分运算与极限运算可交换条件的讨论,引进了弱一致(R)可积的概念,从而给出了闭区间上(R)可积函数列积分运算与极限运算可交换的充要条件.
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| 关 键 词： | (R)积分 逐项可积 弱一致(R)可积 δ-精细的区间点对 |
| 文章编号： | 1673-5196(2006)06-0152-02 |
| 收稿时间： | 2005-07-20 |
| 修稿时间： | 2005年7月20日 |
Necessary and sufficient conditions of term by term Integrability of sequence of (R) integrable functions |
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| KONG Fang-di,CHEN Jin-shu.Necessary and sufficient conditions of term by term Integrability of sequence of (R) integrable functions[J].Journal of Lanzhou University of Technology,2006,32(6):152-153. |
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| Authors: | KONG Fang-di CHEN Jin-shu |
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| Institution: | School of ,Science, Lanzhou Univ. of Teeh. , Lanzhou 730050, China |
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| Abstract: | The concept of weak uniform(R) integrability was introduced by means of integral operation of point-convergent(R) integrable functional sequence and by discussing exchangeable condition of limiting operation,so that the necessary and sufficient condition of term by term integrability of sequence of(R) integrable functions on closed interval was given. |
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