一类连续不可微函数的构造及其Bouligand维数

Construction of non-differentiable function and it's Bouligand dimension

利用Buch的方法构造出了一类处处连续 ,但处处不可微函数 ,该函数是Buch所构造出的函数的推广 ,并对该函数图像的盒 (Bouligand)维数进行了估计 ,得出了Buch函数的盒维数只是其中的一种特殊情况 .

By using Buch's method an example of a function,continuous and non differentiable is exhibited.The function extend the Buch function.The estimation of the Bouligand dimension of the function has been obtained.The Bouligand dimension of the Buch function is an exceptional case.