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arXiv · 2501.16851

Generating fractal functions associated with Suzuki iterated function systems

Mridul Patel·G. Verma·A. Eberhard·A. Rao
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Abstract

This article constructs a fractal interpolation function, also referred to as $\alpha$-fractal function, using Suzuki-type generalized $\varphi$-contraction mappings (STGPC). The STGPC is a generalization of $\varphi$-contraction mappings. The process of constructing $\alpha$-fractal functions using the STGPC is detailed, and examples of STGPC are given. The FIF has broad applications in data analysis, finance and price prediction. We have included a case study analyzing the price volatility of spinach in the Azadpur vegetable market in New Delhi. The fractal analysis gives a unique perspective on understanding price fluctuations over a period. Finally, the box-dimensional analysis is presented to comprehend the complexity of price fluctuations.

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BibTeXRIS

Mridul Patel, G. Verma, A. Eberhard, A. Rao. 2025-01-28. Generating fractal functions associated with Suzuki iterated function systems. https://arxiv.org/abs/2501.16851

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