| 新证有限闭集上的连续函数的性质 |
| |
| 引用本文： | 艾斯卡尔·阿布力米提.新证有限闭集上的连续函数的性质[J].新疆教育学院学报,2010,26(2):115-116. |
| |
| 作者姓名： | 艾斯卡尔·阿布力米提 |
| |
| 作者单位： | 新疆教育学院,数学与信息技术分院,新疆,乌鲁木齐830043 |
| |
| 摘 要： | 实变函数简明教程教材中定理1和定理2的证明过程当中选择有限覆盖定理达到证明的目的.文章介绍了新的证明方法,选择的工具是设计新函数,再直接使用数学分析的一致连续性来达到证明目的.
|
| 关 键 词： | 上、下确界 连续性 闭集 一致连续性 |
A New Way of Proving Continuous Function in Bounded Closed Set |
| |
| Askar Abulmit.A New Way of Proving Continuous Function in Bounded Closed Set[J].Journal of Xinjiang Education Institute,2010,26(2):115-116. |
| |
| Authors: | Askar Abulmit |
| |
| Institution: | Askar Abulmit(Department of Mathematics and Technology Science,Xinjiang Education Institute,Urumqi 830043,Xinjiang) |
| |
| Abstract: | The author applied the finite covering theorem to prove the theorem 1 and theorem 2 in the textbook entitled A Brief Course of Real Variable Function.This paper is trying to introduce a new way of proving by means of designing new function and then prove it by applying continuity of mathematic analysis. |
| |
| Keywords: | sharp upper and lower bound continuity closed set uniformly continuity |
| 本文献已被 维普 万方数据 等数据库收录！ |
