ON THE CONTINUITY AND DIFFERENTIABILITY OF A KIND OF FRACTAL INTERPOLATION FUNCTION

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李红达;叶正麟;高行山

【期刊名称】《应用数学和力学（英文版）》【年(卷),期】2002(023)004

【摘要】The sufficient conditions of Holder continuity of two kinds of fractal interpolation functions defined by IFS (Iterated Function System) were obtained. The sufficient and necessary condition for its differentiability was proved. Its derivative was a fractal interpolation function generated by the associated IFS, if it is differentiable. 【总页数】8页(471-478) 【

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fractal;interpolation

function;Holder

continuity;differentiability 【作者】李红达;叶正麟;高行山

【作者单位】State Key Laboratory of Information, Security Graduate School, C hinese Academy of Sciences, Beijing 100039, P R China;Department of Mathematics and Information, Northwestern Polytechnical University, Xi'an 710072, P R China;Department of Engineering Mechanics, Northwestern Polytechnical University, Xi'an 710072, P R China 【正文语种】中文【中图分类】O174.1

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