Non-Stationary Fractal Functions on the Sierpiński Gasket
Anuj Kumar, Salah Boulaaras, Shubham Kumar Verma, Mohamed Biomy
Source abstract
Following the work on non-stationary fractal interpolation (Mathematics 7, 666 (2019)), we study non-stationary or statistically self-similar fractal interpolation on the Sierpiński gasket (SG). This article provides an upper bound of box dimension of the proposed interpolants in certain spaces under suitable assumption on the corresponding Iterated Function System. Along the way, we also prove that the proposed non-stationary fractal interpolation functions have finite energy.
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