| 仿射分形插值函数与纵向尺度因子 |
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| 引用本文： | 陈咸存,阮火军,郭秋丽. 仿射分形插值函数与纵向尺度因子[J]. 高校应用数学学报(A辑), 2007, 22(2): 205-209 |
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| 作者姓名： | 陈咸存 阮火军 郭秋丽 |
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| 作者单位： | 宁波教育学院,数学系,浙江宁波,315010;浙江大学,数学系,浙江杭州,310027;浙江万里学院,数学研究所,浙江宁波,315100 |
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| 摘 要： | 文中对一类仿射分形插值函数,用纵向尺度因子刻画了函数在特定值域分布的充分必要条件.
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| 关 键 词： | 迭代函数系 仿射分形插值函数 纵向尺度因子 |
| 文章编号： | 1000-4424（2007）02-0205-05 |
| 收稿时间： | 2006-07-13 |
| 修稿时间： | 2006-07-13 |
Affine fractal interpolation functions and vertical scaling factors |
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| CHEN Xian-cun,RUAN Huo-jun,GUO Qiu-li. Affine fractal interpolation functions and vertical scaling factors[J]. Applied Mathematics A Journal of Chinese Universities, 2007, 22(2): 205-209 |
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| Authors: | CHEN Xian-cun RUAN Huo-jun GUO Qiu-li |
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| Affiliation: | 1. Dept. of Math. ,Ningbo Inst. of Education ,Ningbo 315010,China; 2. Dept. of Math. , Zhejiang Univ. , Hangzhou 310027,China; 3. Inst. of Math. , Zhejiang Wanli College,Ningbo 315100,China |
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| Abstract: | This paper considers a certain class of affine fractal interpolation functions.The necessary and sufficient condition for such functions remaining within a given rectangle with vertical scaling factors is obtained. |
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| Keywords: | iterated function system affine fractal interpolation function vertical scaling factor |
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