一类函数图像的填充维数与分数阶导数  

The Packing Dimension of a Class of Functions

作　　者：唐建国 陆磊[1] 邓冠铁[1] 赵尔敦 

机构地区：[1]华中理工大学数学系

出　　处：《华中理工大学学报》1997年第9期107-109,共3页Journal of Huazhong University of Science and Technology

摘　　要：对一类Ｗｅｉｅｒｓｔｒａｓ函数进行了研究，给出了其填充维数的一个计算公式，并结合分数阶导数，给出了当维数与导数满足一定的关系时，函数的分数阶导数的计算式．这些结果对已有结果进行了较大改进．A class of Weierstrass functions is studied. A computing formula for the packing dimension is given. With the derivative of the fractional order, the computing formula for the derivative of the fractional order of the functions is given when the dimension and the derivative satisfy a certain condition. These results have improved the existing ones.

关 键 词：填充维数 WEIERSTRASS 分数阶导数 函数图像 

分 类 号：O174[理学—数学]