ON THE CONTINUITY AND DIFFERENTIABILITY OF AKIND OF FRACTAL INTERPOLATION FUNCTION  

作　　者：李红达 叶正麟 高行山 

机构地区：[1]State Key Laboratory of Information, Security Graduate School, C hinese Academy of Sciences, Beijing 100039, P R China [2]Department of Mathematics and Information, Northwestern Polytechnical University, Xi'an 710072, P R China [3]Department of Engineering Mechanics, Northwestern Polytechnical University, Xi'an 710072, P R China

出　　处：《Applied Mathematics and Mechanics(English Edition)》2002年第4期471-478,共8页应用数学和力学（英文版）

基　　金：theNationalNaturalScienceFoundationofChina ( 1 0 0 71 0 60 )

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.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.

关 键 词：FRACTAL interpolation function Holder continuity DIFFERENTIABILITY 

分 类 号：O174.1[理学—数学]