Uniform Continuity of Fractal Interpolation Function

被引：0
|
作者：
Pan, Xuezai [1 ]
Wang, Minggang [2 ]
Shang, Xudong [1 ]
机构：
[1] Nanjing Normal Univ, Sch Math, Taizhou Coll, Taizhou 225300, Peoples R China
[2] Nanjing Normal Univ, Sch Math, Nanjing 210046, Peoples R China
来源：
MATHEMATICAL PROBLEMS IN ENGINEERING | 2020年 / 2020卷
基金：
中国国家自然科学基金;
关键词：
SURFACES;
D O I：
10.1155/2020/7840432
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In order to research analysis properties of fractal interpolation function generated by the iterated function system defined by affine transformation, the continuity of fractal interpolation function is proved by the continuous definition of function and the uniform continuity of fractal interpolation function is proved by the definition of uniform continuity and compactness theorem of sequence of numbers or finite covering theorem in this paper. The result shows that the fractal interpolation function is uniformly continuous in a closed interval which is from the abscissa of the first interpolation point to that of the last one.
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收藏
页数：5
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