Uniform Continuity of Fractal Interpolation Function
Joint Authors
Pan, Xuezai
Wang, Minggang
Shang, Xudong
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-11-04
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Pan, Xuezai& Wang, Minggang& Shang, Xudong. 2020. Uniform Continuity of Fractal Interpolation Function. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-5.
https://search.emarefa.net/detail/BIM-1200700
Modern Language Association (MLA)
Pan, Xuezai…[et al.]. Uniform Continuity of Fractal Interpolation Function. Mathematical Problems in Engineering No. 2020 (2020), pp.1-5.
https://search.emarefa.net/detail/BIM-1200700
American Medical Association (AMA)
Pan, Xuezai& Wang, Minggang& Shang, Xudong. Uniform Continuity of Fractal Interpolation Function. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-5.
https://search.emarefa.net/detail/BIM-1200700
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1200700