| 函数非一致连续的一个充分条件 |
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| 引用本文： | 沈晨,金贵荣.函数非一致连续的一个充分条件[J].数学学习,2011(4):40-41. |
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| 作者姓名： | 沈晨 金贵荣 |
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| 作者单位： | 中国石油大学理学院计算与应用数学系,山东青岛266555 |
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| 摘 要： | 对于导函数f′（x）在区间（a,b）（其中a可为-∞,b可为＋∞）无界的情形,通过序列的上极限引入适当条件,可给出判断函数f（x）在（a,b）非一致连续的一个充分条件.
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| 关 键 词： | 非一致连续性 导函数 序列的上极限 |
A Sufficient Condition for Functions of Non-Uniformly Continuous |
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| SHEN Chen,JIN Gui-rong.A Sufficient Condition for Functions of Non-Uniformly Continuous[J].Studies In College Mathematics,2011(4):40-41. |
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| Authors: | SHEN Chen JIN Gui-rong |
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| Institution: | (Department of Computational and Applied Mathematics, China University of Petroleum, Qingdao 266555, PRC) |
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| Abstract: | By introducing appropriate conditions in terms of the upper limit of a sequence for functions with unbounded derivatives, a sufficient condition for functions of non-uniformly continuous are given. |
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| Keywords: | non-uniformly continuous derivative iunction upper limit oi a sequence |
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