Arithmetic-Analytic Representation of Peano Curve
Joint Authors
Yang, Guangjun
Yang, Xiaoling
Wang, Ping
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-09-10
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
In this work, we obtained a nonmatrix analytic expression for the generator of the Peano curve.
Applying the iteration method of fractal, we established a simple arithmetic-analytic representation of the Peano curve as a function of ternary numbers.
We proved that the curve passes each point in a unit square and that the coordinate functions satisfy a Hölder inequality with index α=1/2, which implies that the curve is everywhere continuous and nowhere differentiable.
American Psychological Association (APA)
Yang, Guangjun& Yang, Xiaoling& Wang, Ping. 2019. Arithmetic-Analytic Representation of Peano Curve. International Journal of Mathematics and Mathematical Sciences،Vol. 2019, no. 2019, pp.1-7.
https://search.emarefa.net/detail/BIM-1166376
Modern Language Association (MLA)
Yang, Guangjun…[et al.]. Arithmetic-Analytic Representation of Peano Curve. International Journal of Mathematics and Mathematical Sciences No. 2019 (2019), pp.1-7.
https://search.emarefa.net/detail/BIM-1166376
American Medical Association (AMA)
Yang, Guangjun& Yang, Xiaoling& Wang, Ping. Arithmetic-Analytic Representation of Peano Curve. International Journal of Mathematics and Mathematical Sciences. 2019. Vol. 2019, no. 2019, pp.1-7.
https://search.emarefa.net/detail/BIM-1166376
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1166376