咸阳师范学院学报
鹹暘師範學院學報
함양사범학원학보
JOURNAL OF XIANYANG TEACHERS COLLEGE
2011年
6期
9-11
,共3页
全连续函数%绝对连续%无穷区间
全連續函數%絕對連續%無窮區間
전련속함수%절대련속%무궁구간
completely continuous function%absolutely continuous%infinite interval
提出了无穷区间上全连续函数的概念，并主要用紧区间逼近及举反例的方法成功讨论了其性质，打破了全连续函数在区间[a，b]上的局限性。
提齣瞭無窮區間上全連續函數的概唸，併主要用緊區間逼近及舉反例的方法成功討論瞭其性質，打破瞭全連續函數在區間[a，b]上的跼限性。
제출료무궁구간상전련속함수적개념，병주요용긴구간핍근급거반례적방법성공토론료기성질，타파료전련속함수재구간[a，b]상적국한성。
This paper advances the notion of completely continuous function that is defined on infinite interval, and more, we successfully discuss its properties mainly using the methods of approximating by compact interval and giving counterexample, which breaks the boundedness of completely continuous function that is defined on finite interval.
