The non-differentiability of a class of fractal interpolation functions

被引：12
|
作者：
Chen, SR [1 ]
机构：
[1] Wuhan Univ, Dept Phys, Wuhan 430072, Peoples R China
来源：
ACTA MATHEMATICA SCIENTIA | 1999年 / 19卷 / 04期
关键词：
fractal interpolation; iterated system; nowhere differentiablity; Hausdorff metric;
D O I：
10.1016/S0252-9602(17)30526-X
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Hardin and Massopust([1]) introduced a class of fractal interpolation functions and calculated their Bouligand dimensions. This paper deals with the non-differentiability of these functions and shows some conditions under which they are nowhere differentiable. The basic technique here is based on the presentation the author obtains.
引用
收藏
页码：425 / 430
页数：6
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