可导函数的一致连续性  

Consistent Function of Predicable Function

作　　者：任丽丽[1] 

机构地区：[1]天津师范大学高职学院,天津市武清区301700

出　　处：《张家口职业技术学院学报》2002年第4期39-40,共2页Journal of Zhangjiakou Vocational and Technical College

摘　　要：在参考文献[1]中较全面地讨论了有限开区间上的连续函数一致连续性的充要条件及无穷区间上的连续函数在x趋于+∞(-∞)有有限时一致连续的充分条件,但对无穷区间上的连续函数在x趋于+∞(-∞)无有限极限时的一致连续性却没有结论。本文将利用一元函数的导函数对其进行进一步讨论。In the book by PEI Li-wen(as listed in the Reference [1])the sufficient and necessary conditions of consistent continuity of continuous function in the finite open area and the sufficient conditions of consistent continuity of continuous function in the endless area when x with the finite limit tends to +∞(-∞)are fully discussed, whereas the consistent continuity of continuous function in the endless area when x without the finite limit tends to +∞(-∞)is not concluded. But this is further discussed in this paper by using dirived function of a single variable.

关 键 词：可导函数 一致连续性 拉格朗日中值定理 连续模数 命题 充要条件 

分 类 号：O174[理学—数学]