| (R)可积函数列逐项积分条件的减弱 |
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| 引用本文： | 马振民.(R)可积函数列逐项积分条件的减弱[J].西北师范大学学报,1988(4). |
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| 作者姓名： | 马振民 |
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| 摘 要： | 本文引进(R)可积函数列一致可积的概念,证明了一致可积性比一致收敛性弱;并证明了在一致可积条件下可对(R)可积函数列逐项积分。
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| 关 键 词： | (R)可积函数列 一致可积性 逐项积分 |
Modification to Integrable Condition Term by Term in (R) Integrable Sequence of Functions |
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| Ma Zhengmin.Modification to Integrable Condition Term by Term in (R) Integrable Sequence of Functions[J].Journal of Northwest Normal University Natural Science (Bimonthly),1988(4). |
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| Authors: | Ma Zhengmin |
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| Institution: | Ma Zhengmin |
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| Abstract: | This paper defines the conception on uniformly integrability to (R) integr-able sequence of functions and verifies that the uniformly integrability is more modificatory than the uniformly covergence. It is also shown that under the con-dition on uniformly integrability the sequence of functions may be integrated term by term. |
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| Keywords: | sequence of (R)integrable functions uniformly integrability integrating term by term |
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