The Relationship Between a Fractal F^α –absolutely Continuous Function and a Fractal Bounded p – variation Function

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 F^α –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 F^α –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.

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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  -