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

页码：425 / 430

页数：6

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