| 紧集上单调函数序列的收敛性 |
| |
| 引用本文： | 龙明生,欧阳耀.紧集上单调函数序列的收敛性[J].宜春学院学报,2011,33(8). |
| |
| 作者姓名： | 龙明生 欧阳耀 |
| |
| 作者单位： | 1. 万载县株潭中学,江西万载,336105
2. 湖州师范学院数学系,浙江湖州,313000 |
| |
| 基金项目： | 浙江省自然科学基金的资助课题 |
| |
| 摘 要： | Dini定理是数学分析中的一个重要定理,然而它要求函数序列中每一个函数都连续,这在很大程度上限制了它的使用范围,全文主要讨论紧集上多元函数序列的一致收敛性问题,利用函数的单调性来代替其连续性,得到了类似于Dini定理的结论,从而拓广了Dini定理的应用范围。
|
| 关 键 词： | 单调函数序列 一致收敛性 Dini定理 紧集 |
Convergence for Sequences of Monotone Functions on Compact Sets |
| |
| LONG Ming-sheng,OUYANG Yao.Convergence for Sequences of Monotone Functions on Compact Sets[J].Journal of Yichun University,2011,33(8). |
| |
| Authors: | LONG Ming-sheng OUYANG Yao |
| |
| Institution: | LONG Ming-sheng,OUYANG Yao(Zhutan Middle school,Wanzai,336105 China,Department of Mathematics,Huzhou Normal College,Huzhou,313000 China) |
| |
| Abstract: | As is well known,the concept of uniform convergence plays an important role in mathematical analysis.It deals with the convergence for sequence of monotone functions on a compact set and obtains some new results.Notice that this result is closely related to the well-known Dini theorem. |
| |
| Keywords: | Monotone sequence of functions uniform convergence Dini theorem compact set |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
