On a class of non-integer dimensional continuous functions with one unbounded variation point
Classical Analysis and ODEs
2024-11-08 v2
Abstract
This paper constructs a class of non-integer dimensional continuous functions with one unbounded variation point, discusses their H\"older condition and variation on their domains. Specifically, the fractal dimension of a continuous function with one unbounded variation point can reach two.
Cite
@article{arxiv.2402.03382,
title = {On a class of non-integer dimensional continuous functions with one unbounded variation point},
author = {Pei-Zhi Liu and Yong-Shun Liang and Jun-Ru Wu},
journal= {arXiv preprint arXiv:2402.03382},
year = {2024}
}
Comments
I am writing to request the withdrawal of my paper. After a thorough review, I have identified several improvements that would enhance the clarity and presentation of the work. I plan to incorporate these adjustments and resubmit a revised version in the near future