闭区间上连续函数性质的推广  

Generalization of Properties of Continuous Functions in the Closed Interval

作　　者：陈亦佳 李志成 CHEN Yijia;LI Zhicheng(School of Mathematics and Information Technology,Yuxi Normal University,Yuxi 653100,China)

机构地区：[1]玉溪师范学院数学与信息技术学院,云南玉溪653100

出　　处：《玉溪师范学院学报》2023年第6期9-14,共6页Journal of Yuxi Normal University

摘　　要：在闭区间连续函数的性质的基础上,把闭区间推广到开区间及无限区间,进一步把区间推广到可测集,把连续函数推广到可测函数,得到了几个不同形式的闭区间连续函数性质的推广,使闭区间连续函数的性质得到了丰富.In this paper,based on the properties of continuous functions in closed intervals,we generalize closed intervals to open intervals and infinite intervals,then measurable sets,and then continuous functions to measurable functions.Several different forms of continuous functions in closed intervals are obtained,which enriches the properties of continuous functions in closed intervals.

关 键 词：闭区间 连续函数 可测集 可测函数 

分 类 号：O174.52[理学—数学]