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THE NON-DIFFERENTIABILITY OF A CLASS OFFRACTAL INTERPOLATION FUNCTIONS
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作者 陈世荣 《Acta Mathematica Scientia》 SCIE CSCD 1999年第4期425-430,共6页
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 u... 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. 展开更多
关键词 fractal interpolation iterated system nowhere differentiablity Hausdorff metric
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