THE NON-DIFFERENTIABILITY OF A CLASS OFFRACTAL INTERPOLATION FUNCTIONS  

作　　者：陈世荣 

出　　处：《Acta Mathematica Scientia》1999年第4期425-430,共6页数学物理学报（B辑英文版）

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.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.

关 键 词：fractal interpolation iterated system nowhere differentiablity Hausdorff metric 

分 类 号：O174[理学—数学]