Nonlinear fractal interpolation functions on the Koch curve

Journal of fractal geometry: mathematics of fractals and related topics

article

Song-Il Ri¹  Vasileios Drakopoulos²  Song-Min Nam³  Kyong-Mi Kim⁴ 

[1] University of Science;University of Thessaly;Pyongyang University of Transport;Kim Chaek University of Technology

关键词: Iterated function system;    fractal interpolation function;    Rakotch contraction;    Koch curve;   

DOI  :  10.4171/jfg/123

来源: European Mathematical Society

【 摘 要 】

Nonlinear fractal interpolation functions defined on the Koch curve by replacing the usual Banach contractions used to define (linear) fractal interpolation functions with Rakotch contractions are considered. This allows to take care of the nonlinear term in the associated Read–Bajraktarević operator, respectively, the underlying iterated function system. Moreover, we present an extremely explicit example to demonstrate the effectiveness of the obtained results.

【 授权许可】

Unknown