The Relationship Between a Fractal Fα –absolutely Continuous Function and a Fractal Bounded p – variation Function
Corresponding Author
Supriyadi Wibowo
Available Online 23 December 2021.
- DOI
- 10.2991/aer.k.211222.006How to use a DOI?
- Keywords
- fractal bounded; fractal set
- Abstract
Wibowo et al. proposed the concept of the fractal Fα –absolutely continuous function and the fractal bounded p –variation function of order α where 0 < α < 1 and 1 < p < ∞ on a fractal set F. In this paper, we study the relationship between those two functions. In particular, we represent the fractal bounded p –variation function is a fractal Fα –absolutely continuous on a fractal set F.
- Copyright
- © 2021 The Authors. Published by Atlantis Press International B.V.
- Open Access
- This is an open access article under the CC BY-NC license.
Cite this article
TY - CONF AU - Supriyadi Wibowo AU - Christiana Rini Indrati AU - Soeparmi AU - Cari PY - 2021 DA - 2021/12/23 TI - The Relationship Between a Fractal Fα –absolutely Continuous Function and a Fractal Bounded p – variation Function BT - Proceedings of the International Conference on Science and Engineering (ICSE-UIN-SUKA 2021) PB - Atlantis Press SP - 35 EP - 38 SN - 2352-5401 UR - https://doi.org/10.2991/aer.k.211222.006 DO - 10.2991/aer.k.211222.006 ID - Wibowo2021 ER -