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Affine recurrent fractal interpolation functions

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Abstract

In this article, affine recurrent fractal interpolation function is constructed and its convergence analysis is established to understand the approximation properties. Besides, the existence of optimal recurrent fractal interpolation function for given continuous function is discussed. Further, shape preserving aspects of the recurrent fractal interpolation function are investigated by imposing the necessary conditions on the vertical scaling factors. Numerical examples are explored which support the theoretical results.

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Acknowledgements

The authors thank the unknown referees for their valuable comments and suggestions, which helps to improve the presentation. The authors thank to VIT Vellore, India for the support provided during the period of this research work.

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Authors and Affiliations

  1. Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, Tamil Nadu, 632014, India

    N. Balasubramani & A. Gowrisankar

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  1. N. Balasubramani
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  2. A. Gowrisankar
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Balasubramani, N., Gowrisankar, A. Affine recurrent fractal interpolation functions. Eur. Phys. J. Spec. Top. 230, 3765–3779 (2021). https://doi.org/10.1140/epjs/s11734-021-00306-7

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