Yongshun Liang

2 months ago | mdpi.com | Yue Qiu |Yongshun Liang

1. IntroductionContinuous functions are an important object of study in classical calculus, and one class of them is known as fractal functions. Fractal functions are an important part of fractal geometry, and their graphs are characterized by fractals. A class of classical fractal functions is known as Weierstrass functions. The Weierstrass function was proposed in 1872. Prior to this, mathematicians believed that continuous functions were continuous everywhere except for a few special instances.