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Title: Dimensional Analysis of Non-stationary Fractal Functions on the Sierpinski Gasket
Keywords: fractal interpolation
Sierpinski Gasket
Issue Date: Sep-2022
Citation: Conference on Fractals and Related Fields IV, France, September 3-9, 2022
Abstract: The fractal interpolation functions with appropriate iterated function systems (IFSs) pro- vide a method to perturb and approximate an arbitrary function. Sierpinski Gasket (SG) is generated by three mappings in the plane, each a similarity with ratio 1 2 and fixed points the vertices of a triangle. In this talk, we discuss the non-stationary fractal function on the SG. Also, we discuss the fractal dimension of the proposed interpolants under suitable assumption on the corresponding IFS. Further, we observe that the proposed non-stationary fractal functions have finite energy
Description: Copyright belongs to proceeding publisher
Appears in Collections:Conference Papers

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