关于一类连续函数性质的讨论  

The Property for a Continuous Function

作　　者：李晓爱[1] 

机构地区：[1]延安职业技术学院,陕西延安716000

出　　处：《榆林学院学报》2008年第4期32-34,共3页Journal of Yulin University

摘　　要：讨论了开区间内仅含有第一类间断点的连续函数的性质,得到了函数的有界性、取得最大值和最小值及介值性定理,从而推广了开区间上连续函数的性质。In this article the property of continuous function of discontinuity point of the first kind the open - interval only has is discussed. , the boundedness, maximum value , the minimum value and intermediate - value theorem have been obtained, thus property of continuous function on the open - interval has been promoted.

关 键 词：连续函数 第一类间断点 有界性 最大值 最小值 介值性 

分 类 号：O174[理学—数学]