| DIMENSION AND DIFFERENTIABILIIY OF A CLASS OF FRACTAL INTERPOLATION FUNCTIONS |
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| 作者姓名： | WANG GUOZHONG |
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| 作者单位： | WANG GUOZHONG Department of Mathematics，Zhejiang University Hangzhou 310027 |
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| 基金项目： | Supported by the National Natural Science Foundation of China and the Natural Science Foundtion of Zhejiang Province. |
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| 摘 要： | In this paper, a new iterated function system consisting of non-linear affinemaps is constructed. We investigate the fractal interpolation functions generated bysuch a system and get its differentiability, its box dimension, its packing dimension,and a lower bound of its Hansdorff dimension.
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DIMENSION AND DIFFERENTIABILIIY OF A CLASS OF FRACTAL INTERPOLATION FUNCTIONS |
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| WANG GUOZHONG.DIMENSION AND DIFFERENTIABILIIY OF A CLASS OF FRACTAL INTERPOLATION FUNCTIONS[J].Applied Mathematics A Journal of Chinese Universities,1996(1). |
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| Authors: | WANG GUOZHONG |
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| Institution: | WANG GUOZHONG Department of Mathematics,Zhejiang University Hangzhou 310027 |
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| Abstract: | In this paper, a new iterated function system consisting of non-linear affinemaps is constructed. We investigate the fractal interpolation functions generated bysuch a system and get its differentiability, its box dimension, its packing dimension,and a lower bound of its Hansdorff dimension. |
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| Keywords: | Fractal interpolation function dimension differentiability |
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