التفاصيل البيبلوغرافية
| العنوان: |
Generating fractal functions associated with Suzuki iterated function systems |
| المؤلفون: |
Patel, Mridul, Verma, G., Eberhard, A., Rao, A. |
| سنة النشر: |
2025 |
| المجموعة: |
Mathematics |
| مصطلحات موضوعية: |
Mathematics - Functional Analysis, Mathematics - Dynamical Systems, Mathematics - General Topology |
| الوصف: |
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. |
| نوع الوثيقة: |
Working Paper |
| URL الوصول: |
http://arxiv.org/abs/2501.16851 |
| رقم الانضمام: |
edsarx.2501.16851 |
| قاعدة البيانات: |
arXiv |