| 一个五进位制小数下的连续不可微函数及推广 |
| |
| 引用本文： | 铁勇,杨光俊.一个五进位制小数下的连续不可微函数及推广[J].云南大学学报(自然科学版),2003,25(4):293-295,302. |
| |
| 作者姓名： | 铁勇 杨光俊 |
| |
| 作者单位： | 云南大学,数学系,云南,昆明,650091 |
| |
| 基金项目： | 云南省应用基础研究基金资助项目(97A003M). |
| |
| 摘 要： | 在Kiesswetter给出的函数的基础上找到一个在五进制小数定义下的处处连续且无处可微函数,然后用分形的方法推导出该函数表达式及仿射迭代函数系,最后进行推广.
|
| 关 键 词： | Kiesswetter函数五进位制 处处连续 无处可微 |
| 文章编号： | 0258-7971(2003)04-0293-03 |
An continuous and non-differentiable function defined by quinary decimal and extending |
| |
| TIE Yong,YANG Guang-jun.An continuous and non-differentiable function defined by quinary decimal and extending[J].Journal of Yunnan University(Natural Sciences),2003,25(4):293-295,302. |
| |
| Authors: | TIE Yong YANG Guang-jun |
| |
| Institution: | Department of Mathematics, Yunnan University, Kunming 650091, China |
| |
| Abstract: | Based on the function given by Kiesswetter,a function defined by quinary decimal is found which is continuous everywhere and differentiable nowhere.By the method of fractal,its expression and affine iterated function system are obtained and it is generalized. |
| |
| Keywords: | Kiesswetter's function quinary decimal everywhere continuous nowhere differentiable |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《云南大学学报(自然科学版)》浏览原始摘要信息 |
| 点击此处可从《云南大学学报(自然科学版)》下载免费的PDF全文 |
