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On the integral transform of fractal interpolation functions

Author

Listed:
  • Agathiyan, A.
  • Gowrisankar, A.
  • Fataf, Nur Aisyah Abdul

Abstract

This paper explores the integral transform of two distinct fractal interpolation functions, namely the linear fractal interpolation function and the hidden variable fractal interpolation function with variable scaling factors. Further, with a particular application of kernel functions, we investigate the integral transform of fractal functions, such as the Laplace transform and the Laplace Carson transform. Moreover, we show that the compositeness of two fractal interpolation functions, f1 in {tɛ,xɛ} and f2 in {xɛ,zɛ} remains a fractal interpolation function. It also generates iterated function system from given iterated function systems. In addition to this, the study is carried out on the composite linear fractal interpolation function of the integral transform, the Laplace transform, and the Laplace Carson transform.

Suggested Citation

  • Agathiyan, A. & Gowrisankar, A. & Fataf, Nur Aisyah Abdul, 2024. "On the integral transform of fractal interpolation functions," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 222(C), pages 209-224.
    • Handle: RePEc:eee:matcom:v:222:y:2024:i:c:p:209-224
    DOI: 10.1016/j.matcom.2023.08.018
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    References listed on IDEAS

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    1. Dai, Zhong & Liu, Shutang, 2023. "Construction and box dimension of the composite fractal interpolation function," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).
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    6. Subhash Chandra & Syed Abbas, 2021. "The Calculus Of Bivariate Fractal Interpolation Surfaces," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 29(03), pages 1-13, May.
    7. Yong-Shun Liang, 2022. "Approximation Of The Same Box Dimension In Continuous Functions Space," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 30(03), pages 1-9, May.
    8. T. M. C. Priyanka & A. Gowrisankar, 2023. "Construction Of New Affine And Non-Affine Fractal Interpolation Functions Through The Weyl–Marchaud Derivative," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 31(05), pages 1-15.
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