# On Fractal Features and Fractal Linear Space About Fractal Continuous Functions

@inproceedings{Xiao2021OnFF, title={On Fractal Features and Fractal Linear Space About Fractal Continuous Functions}, author={Wei Xiao}, year={2021} }

This paper investigates fractal dimension of linear combination of fractal continuous functions with the same or different fractal dimensions. It has been proved that: (1) BVI all fractal continuous functions with bounded variation is fractal linear space; (2) DI all fractal continuous functions with Box dimension one is a fractal linear space; (3) DI all fractal continuous functions with identical Box dimension s(1 < s ≤ 2) is surprisingly a non-fractal linear space, even non-fractal linear…

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