Fractal Interpolation Using Harmonic Functions on the Koch Curve

• Published in: Fractal and fractional Vol. 5; no. 2; p. 28
• Main Authors: Ri, Song-Il, Drakopoulos, Vasileios, Nam, Song-Min
• Format: Journal Article
• Language: English
• Published: Basel MDPI AG 2021
• Subjects: Continuity (mathematics); Fractal analysis; fractal functions; Fractals; Graphs; Harmonic functions; Hölder continuity; Interpolation; Koch Curve; Mathematicians; Theorems

The Koch curve was first described by the Swedish mathematician Helge von Koch in 1904 as an example of a continuous but nowhere differentiable curve. Such functions are now characterised as fractal since their graphs are in general fractal sets. Furthermore, it can be obtained as the graph of an ap...