关于函数图象的盒维数的若干研究

On the Box Dimension of Graphs of Functions

主要研究了函数图象的盒维数。通过定义函数图象,并给出函数图象的盒维数,从而在dim BΓ(f,I),dim BΓ(g,I),dim BΓ(f±g,I)之间建立结合关系。

This paper probes into the Box dimension of graphs of functions. The definitions of graphs of functions are given. For any a con-tinuous function, the Box dimension of graphs of functions is defined. The relationships among dim BΓ（f,I）,dim BΓ（g,I）,dim BΓ（f±g,I）are established.