摘要
借助于实数的Ｃａｎｔｏｒ级数表达式．在单位区间上构造了一类用二进小数表示的函数．证明了这类函数是处处连续但处处不可微的．并且在一定的条件下．讨论了这类函数的几何对称性．
In this paper, a class of nowhere differentiable continuous functions on the unit interval are constructed by means of the Cantor series expressions of real numbers. Moreover, under a certain condition, the geometrical properties of these functions are also discussed.
出处
《淮北煤师院学报（自然科学版）》
2000年第1期1-6,共6页
Journal of Huaibei Teachers College(Natural Sciences Edition)
基金
淮北煤师院科研基金
