函数列非一致收敛的若干判别方法  

Several Methods of Judging on the Non-uniform Convergence of Function Sequence

作　　者：李耀红[1] 王婷婷[1] 李冬楠[1] 

机构地区：[1]宿州学院数学与统计学院,安徽宿州234000

出　　处：《阴山学刊（自然科学版）》2017年第3期5-6,共2页Yinshan Academic Journal(Natural Science Edition)

基　　金：安徽省高校优秀青年人才支持计划重点项目(gxyq ZD2016339);宿州学院综合理科实践教育基地(szxysjjd201205)

摘　　要：函数列非一致收敛性判别问题是数学分析中最重要的"非概念"之一,也是数学分析学习重难点之一,是后续函数项级数相关解析性质研究的基础.通过逆向思维,对数学分析教材内容进行剖析,总结了五种判别非一致收敛的方法,并给出了证明及应用实例.Judging problem on the non - uniform convergence of function sequence is one of the most importantnon concept and difficult point in mathematical analysis, which is also research foundation for the follow -up func- tion series related analysis properties. Through reverse thinking, based on mathematical analysis teaching material content, the five methods of judging on the non - uniform convergence of function sequence are summarized. The proof and application example are given.

关 键 词：函数列 非一致收敛 判别方法 

分 类 号：O173[理学—数学]