一个五进位制小数下的连续不可微函数及推广

铁勇; 杨光俊

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.

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.

TIE Yong, YANG Guang-jun. An continuous and non-differentiable function defined by quinary decimal and extending[J]. Journal of Yunnan University: Natural Sciences Edition, 2003, 25(4): 293-295,302.

Citation:

TIE Yong, YANG Guang-jun. An continuous and non-differentiable function defined by quinary decimal and extending[J]. Journal of Yunnan University: Natural Sciences Edition, 2003, 25(4): 293-295,302.

一个五进位制小数下的连续不可微函数及推广

铁勇,
杨光俊

An continuous and non-differentiable function defined by quinary decimal and extending

摘要

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.

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.

HTML全文

参考文献(0)

资源附件(0)

/