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THE NON-DIFFERENTIABILITY OF A CLASS OFFRACTAL INTERPOLATION FUNCTIONS

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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.
作者 Chen Shirong 陈世荣(Department of Physics,Wshan University,Wuhan 430072.China)
机构地区 Department of Physics
出处 《Acta Mathematica Scientia》 SCIE CSCD 1999年第4期425-430,共6页 数学物理学报(B辑英文版)
基金 supported by NNSF of China
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