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Super Coalescence Hidden-Variable Fractal Interpolation Functions

Author

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  • SRIJANANI ANURAG PRASAD

    (Department of Mathematics and Statistics, Indian Institute of Technology, Tirupati, India)

Abstract

In this paper, a new notion of super coalescence hidden-variable fractal interpolation function (SCHFIF) is introduced. The construction of SCHFIF involves choosing an IFS from a pool of several non-diagonal IFS at each level of iteration. Further, the integral of a SCHFIF is studied and shown to be a SCHFIF passing through a different set of interpolation data.

Suggested Citation

  • Srijanani Anurag Prasad, 2021. "Super Coalescence Hidden-Variable Fractal Interpolation Functions," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 29(03), pages 1-9, May.
    • Handle: RePEc:wsi:fracta:v:29:y:2021:i:03:n:s0218348x21500511
    DOI: 10.1142/S0218348X21500511
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    Cited by:

    1. Prasad, S.A. & Verma, S., 2023. "Fractal interpolation function on products of the Sierpiński gaskets," Chaos, Solitons & Fractals, Elsevier, vol. 166(C).
    2. Liu, Chiao-Wen & Luor, Dah-Chin, 2023. "Applications of fractal interpolants in kernel regression estimations," Chaos, Solitons & Fractals, Elsevier, vol. 175(P1).
    3. Ri, Mi-Gyong & Yun, Chol-Hui, 2022. "Riemann-Liouville fractional derivatives of hidden variable recurrent fractal interpolation functions with function scaling factors and box dimension," Chaos, Solitons & Fractals, Elsevier, vol. 156(C).

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