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http://hdl.handle.net/2080/4732
Title: | A Study On Sensitivity and Stability Analysis of Non-Stationary α-Fractal Functions |
Authors: | Mondal, Anarul Islam Jha, Sangita |
Keywords: | Fractal functions (primary) Non-stationary iterated function system Approximation Stability |
Issue Date: | Oct-2024 |
Citation: | 4th International Conference on Nonlinear Applied Analysis and Optimization(ICNAAO), NIT Hamirpur, India, 17-19 October, 2024 |
Abstract: | This article presents a comprehensive investigation of fractal interpolation functions associated with a sequence of iterated function systems (IFSs). By selecting a suitable sequence of IFS parameters, the resulting non-stationary fractal function becomes a better approximant for the non-smooth function. To achieve this, we first construct the non-stationary interpolant within the Lipschitz space and examine key topological properties of the associated non-linear fractal operator. Furthermore, we explore the stability of the interpolant under small perturbations and analyze the sensitivity to perturbations in the IFS parameters. We provide an upper bound for the errors encountered during the approximation process. Finally, we study the continuous dependence of the proposed interpolant on various IFS parameters. |
Description: | Copyright belongs to proceeding publisher |
URI: | http://hdl.handle.net/2080/4732 |
Appears in Collections: | Conference Papers |
Files in This Item:
File | Description | Size | Format | |
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2024_ICNAAO_AIMondal_AStudy.pdf | Presentation | 743.82 kB | Adobe PDF | View/Open Request a copy |
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