Generating fractal functions associated with Suzuki iterated function systems
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866916586665803776 |
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| author | Patel, Mridul Verma, G. Eberhard, A. Rao, A. |
| author_facet | Patel, Mridul Verma, G. Eberhard, A. Rao, A. |
| contents | This article constructs a fractal interpolation function, also referred to as $α$-fractal function, using Suzuki-type generalized $φ$-contraction mappings (STGPC). The STGPC is a generalization of $φ$-contraction mappings. The process of constructing $α$-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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_16851 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Generating fractal functions associated with Suzuki iterated function systems Patel, Mridul Verma, G. Eberhard, A. Rao, A. Functional Analysis Dynamical Systems General Topology This article constructs a fractal interpolation function, also referred to as $α$-fractal function, using Suzuki-type generalized $φ$-contraction mappings (STGPC). The STGPC is a generalization of $φ$-contraction mappings. The process of constructing $α$-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. |
| title | Generating fractal functions associated with Suzuki iterated function systems |
| topic | Functional Analysis Dynamical Systems General Topology |
| url | https://arxiv.org/abs/2501.16851 |