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| ON THE CONTINUITY AND DIFFERENTIABILITY OF AKIND OF FRACTAL INTERPOLATION FUNCTION | |
| 作者姓名： | 李红达 叶正麟 高行山 |
| 作者单位： | 1 State Key Laboratory of Information，Security Graduate School，Chinese Academy of Sciences，Beijing 100039，P R China; 2 Department of Mathematics and Information，Northwestern Polytechnical University |
| 基金项目： | theNationalNaturalScienceFoundationofChina ( 1 0 0 71 0 60 ) |
| 摘 要： | ＩｎｔｒｏｄｕｃｔｉｏｎＦｒａｃｔａｌｉｎｔｅｒｐｏｌａｔｉｏｎｍｅｔｈｏｄｉｓｎｕｍｅｒｉｃａｌｍｅｔｈｏｄｉｎｔｈｅｆｒａｃｔａｌｇｅｏｍｅｔｒｙｕｓｉｎｇｉｔｅｒａｔｅｄｆｕｎｃｔｉｏｎｓｙｓｔｅｍ (ＩＦＳ) ,ｉｔｉｓｄｉｆｆｅｒｅｎｔｆｒｏｍｔｒａｄｉｔｉｏｎａｌｉｎｔｅｒｐｏｌａｔｉｏｎｍｅｔｈｏｄ .Ｍ .Ｆ .Ｂａｒｎｓｅｌｙ1,2 ]ｆｉｒｓｔｇａｖｅｔｈｉｓｍｅｔｈｏｄａｎｄｒｅｓｅａｒｃｈｅｄｔｈｅｃｏｎｔｉｎｕｉｔｙａｎｄｔｈｅｆｒａｃｔａｌｄｉｍｅｎｓｉｏｎｏｆｉｎｔｅｒｐｏｌａｔ… |
| 收稿时间： | 30 August 2000 |
On the continuity and differentiability of a kind of fractal interpolation function |
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| Li Hong-da Lecturer, Doctor,Ye Zheng-lin,Gao Hang-shan.ON THE CONTINUITY AND DIFFERENTIABILITY OF AKIND OF FRACTAL INTERPOLATION FUNCTION[J].Applied Mathematics and Mechanics(English Edition),2002,23(4):471-478. | |
| Authors: | Li Hong-da Lecturer Doctor Ye Zheng-lin Gao Hang-shan |
| Institution: | 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 |
| Abstract: | The sufficient conditions of H*ilder 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. |
| Keywords: | fractal interpolation function H*ilder continuity differentiability |
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