一元函数一致连续性的几类判别法及其应用  

Several Discriminant Methods for Uniform Continuity ofUnary Functions and Their Applications

作　　者：张艳 阿力非日[1] ZHANG Yan;ALI Feiri(School of Yi Language and Culture,Xichang University,Xichang,Sichuan 615000,China)

机构地区：[1]西昌学院彝语言文化学院,四川西昌615000

出　　处：《西昌学院学报（自然科学版）》2020年第4期22-24,32,共4页Journal of Xichang University(Natural Science Edition)

摘　　要：一元函数的一致连续性是一元函数连续性的延伸,是数学分析专业的重点和难点,是后续二元函数的一致连续性和级数一致收敛的基础。通过对一致连续性的几类判别法和相关的应用进行集中研究,希望对数学专业考研的读者有一定的帮助。The uniform continuity of unary function is the extension of the continuity of unary function,which is the key and difficult point of mathematical analysis majors,and also the foundation of the uniform continuity and uniform convergence of series of the subsequent binary functions.Through a targeted research on several discriminant methods for uniform continuity and their corresponding application,this paper expects to give useful advise to students preparing for post-graduate entrance examination for math majors.

关 键 词：一元函数 一致连续性 收敛 LIPSCHITZ条件 

分 类 号：O174.1[理学—数学]