| 极限运算与求导运算可交换的一个条件 |
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| 引用本文： | 刘集平,吴泽民.极限运算与求导运算可交换的一个条件[J].泉州师范学院学报,2014(2):64-66. |
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| 作者姓名： | 刘集平 吴泽民 |
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| 作者单位： | [1]黎明职业大学公共教学部,福建泉州362000 [2]泉州师范学院数学与计算机科学学院,福建泉州362000 |
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| 摘 要： | 研究了函数列的极限函数的可微性问题，通过引入广义一致收敛的概念，改进通常的导函数列是一致收敛的较强条件，得到了一个极限运算与求导运算可以交换的一个充分条件，扩大了其应用范围．
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| 关 键 词： | 一致收敛 可微性 极限函数 |
A Condition for the Interchangeability of the Derivation and Limit Operation |
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| LIU Ji-ping,WU Ze-min.A Condition for the Interchangeability of the Derivation and Limit Operation[J].Journal of Quanzhou Normal College,2014(2):64-66. |
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| Authors: | LIU Ji-ping WU Ze-min |
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| Institution: | 1.Public Teaching Department,Liming Vocational University,Fuiian 362000,China; 2.College of Mathematic and Computer Science, Quanzhou Normal University,Fujian 362000,China) |
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| Abstract: | The problem of differentiability ot the limit function of a sequence is stuched, by the use of the definition of generalized uniform converge, the usual uniform converge condition for the derivation of the sequence is improved,a sufficient condition operation is obtained. for the interchangeability of the derivation and limit |
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| Keywords: | uniform converge differentiability limit function |
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