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<p>In this work, we present and develop a local iterated function system based on Matkowski contractions. This leads to a new class of local fractal functions, whose graphs serve as attractors of the corresponding local systems. Building on this, we propose a novel framework for approximating experimental data using what we call local <i>R</i>-fractal interpolation functions. Additionally, we compare the definite integrals of these fractal interpolation functions and provide an error estimate under small perturbations.</p>

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Perturbation on the definite integral of local R-fractal interpolation functions

  • 期刊论文

  • 发表日期：

    2025年5月22日

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  • Hajer Jebali,
  • Najmeddine Attia

摘要

In this work, we present and develop a local iterated function system based on Matkowski contractions. This leads to a new class of local fractal functions, whose graphs serve as attractors of the corresponding local systems. Building on this, we propose a novel framework for approximating experimental data using what we call local R-fractal interpolation functions. Additionally, we compare the definite integrals of these fractal interpolation functions and provide an error estimate under small perturbations.