摘要
该文利用相似压缩变换,通过不间断地将区间[0,1]进行等分迭代的方法,研究了一类Cantor五分函数及2n+1等分Cantor函数,得到了该推广的Cantor函数的解析式.
The paper studies the analytic expression of a class of Cantor function which has been divided into five parts and 2n＋1 divided parts equally. We use a method of repeated iteration of similar compression transformation. Finally, we arrived at the analytic expression of a class of general Cantor function.
出处
《广西师范学院学报（自然科学版）》
2017年第2期7-11,共5页
Journal of Guangxi Teachers Education University(Natural Science Edition)
基金
江苏省高校自然科学基金面上项目(13KJB110010)
江苏省科技厅产学研前瞻性联合研究项目(BY2015058-01)
关键词
2n+1等分Cantor函数
相似压缩变换
解析式
2n＋1 equally divided Cantor function
similar compression transformation
analyticexpression
