摘要
研究一类基于实数的Cantor级数表示的分形函数———Bush型函数图像的K-维数.得到了这类函数图像的K-维数的上、下界估计式.指出在基于实数的b进制表示的情形下,这类函数图像的K-维数等于其box维数与pack ing维数.
The K-dimension of the graphs of a class of Bush functions was studied. These fractal functions are defined by using the expression of the Cantor series of real numbers. The expressions of the upper and lower boundaries for the K-dimension of such graphs were obtained. It is shown that the K-dimension of the graphs of such functions is equal to their box dimension and packing dimension when the functions are defined by the b-adic expression of real numbers.
出处
《西南交通大学学报》
EI
CSCD
北大核心
2005年第6期825-828,共4页
Journal of Southwest Jiaotong University
基金
国家自然科学基金资助项目(10171080)
安徽省教育厅重点科研基金资助项目(2003kj047zd)
