On a class of non-integer dimensional continuous functions with one unbounded variation point

Abstract

This paper constructs a class of non-integer dimensional continuous functions with one unbounded variation point, discusses their Hölder condition and variation on their domains. Specifically, the fractal dimension of a continuous function with one unbounded variation point can reach two.

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