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http://hdl.handle.net/2080/3748
Title: | Dimensional Analysis of Non-stationary Fractal Functions on the Sierpinski Gasket |
Authors: | JHA, SANGITA |
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 |
URI: | http://hdl.handle.net/2080/3748 |
Appears in Collections: | Conference Papers |
Files in This Item:
File | Description | Size | Format | |
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JhaS_FARF42022.pdf | 204.27 kB | Adobe PDF | View/Open |
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