Proceedings of the International Conference on Science and Engineering (ICSE-UIN-SUKA 2021)

The Relationship Between a Fractal Fα –absolutely Continuous Function and a Fractal Bounded p – variation Function

Authors
Supriyadi Wibowo1, *, Christiana Rini Indrati2, Soeparmi1, Cari1
1Universitas Sebelas Maret Surakarta, Surakarta, Indonesia
2Universitas Gadjah Mada, Yogyakarta, Indonesia
*Corresponding author. Email: supriyadi_w@staff.uns.ac.id
Corresponding Author
Supriyadi Wibowo
Available Online 23 December 2021.
DOI
https://doi.org/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.

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Volume Title
Proceedings of the International Conference on Science and Engineering (ICSE-UIN-SUKA 2021)
Series
Advances in Engineering Research
Publication Date
23 December 2021
ISBN
978-94-6239-494-0
ISSN
2352-5401
DOI
https://doi.org/10.2991/aer.k.211222.006How to use a DOI?
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  - https://doi.org/10.2991/aer.k.211222.006
ID  - Wibowo2021
ER  -