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投稿时间：2007-04-06
投稿时间：2007-04-06
中文摘要: 连续、一致连续、一致收敛和等度连续是函数或函数列非常重要的性质.针对收敛的函数列,探讨了一致连续、一致收敛和等度连续两两之间的关系,并在有界区间上给出了一致连续、一致收敛和等度连续的等价关系.
Abstract:Continuity,uniform continuity,uniform convergence and equicontinuity are very important qualities of functions or sequence of functions.For sequence of functions,the relation of uniform continuity,uniform convergence and equicontinuity is studied.Their equivalence relation is presented with sequence of functions set in a bounded interval.
文章编号：20070323 中图分类号： 文献标志码：
基金项目:
| 作者 | 单位 |
| 徐丽 | 上海电力学院 数理系, 上海 200092 |
| Author Name | Affiliation |
| XU Li | Dept. of Mathematics and Physics, Shanghai University of Electric Power, Shanghai 200090, China |
引用文本：
徐丽.函数列一致连续和一致收敛及等度连续的关系[J].上海电力大学学报,2007,23(3):284-286,291.
XU Li.Relation of Uniform Continuity and Uniform Convergence and Equicontinuity on Sequence of Functions[J].Journal of Shanghai University of Electric Power,2007,23(3):284-286,291.
徐丽.函数列一致连续和一致收敛及等度连续的关系[J].上海电力大学学报,2007,23(3):284-286,291.
XU Li.Relation of Uniform Continuity and Uniform Convergence and Equicontinuity on Sequence of Functions[J].Journal of Shanghai University of Electric Power,2007,23(3):284-286,291.