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A note on stability and fractal dimension of bivariate α-fractal functions

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Abstract

We study the continuous dependence of the so-called (bivariate) α-fractal function on the parameters such as the scaling function α, net △ of rectangular grid, and the base function s involved in its construction. Furthermore, we establish some results regarding its dimension.

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Authors and Affiliations

  1. Department of Mathematics, IIT(BHU), Varanasi, 221005, India

    V. Agrawal & T. Som

  2. Department of Applied Sciences, IIIT-Allahabad, Prayagraj, 211015, India

    S. Verma

Authors
  1. V. Agrawal
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  2. T. Som
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  3. S. Verma
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Each author contributed equally in this manuscript.

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Correspondence to V. Agrawal.

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Agrawal, V., Som, T. & Verma, S. A note on stability and fractal dimension of bivariate α-fractal functions. Numer Algor 93, 1811–1833 (2023). https://doi.org/10.1007/s11075-022-01490-w

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  • DOI: https://doi.org/10.1007/s11075-022-01490-w

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