Please use this identifier to cite or link to this item: 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

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