The Smoothness of Fractal Interpolation Functions on ℝ and on p-Series Local Fields
Joint Authors
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-04-07
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
A fractal interpolation function on a p-series local field Kp is defined, and its p-type smoothness is shown by virtue of the equivalent relationship between the Hölder type space CσKp and the Lipschitz class Lipσ,Kp.
The orders of the p-type derivatives and the fractal dimensions of the graphs of Weierstrass type function on local fields are given as an example.
The α-fractal function on ℝ is introduced and the conclusion of its smoothness is improved in a more general case; some examples are shown to support the conclusion.
Finally, a comparison between the fractal interpolation functions defined on ℝ and Kp is given.
American Psychological Association (APA)
Li, Jing& Su, Weiyi. 2014. The Smoothness of Fractal Interpolation Functions on ℝ and on p-Series Local Fields. Discrete Dynamics in Nature and Society،Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-506838
Modern Language Association (MLA)
Li, Jing& Su, Weiyi. The Smoothness of Fractal Interpolation Functions on ℝ and on p-Series Local Fields. Discrete Dynamics in Nature and Society No. 2014 (2014), pp.1-10.
https://search.emarefa.net/detail/BIM-506838
American Medical Association (AMA)
Li, Jing& Su, Weiyi. The Smoothness of Fractal Interpolation Functions on ℝ and on p-Series Local Fields. Discrete Dynamics in Nature and Society. 2014. Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-506838
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-506838