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Fractal Interpolation Functions On Affine Fractal Interpolation Curves

Author

Listed:
  • SONGIL RI

    (Faculty of Mathematics, University of Science, Pyongyang, DPR Korea)

  • SONGMIN NAM

    (Faculty of Management, Pyongyang University of Transport, Pyongyang, DPR Korea)

  • HYONCHOL KIM

    (Faculty of Mathematics, Kim Il Sung University, Pyongyang, DPR Korea)

Abstract

In this paper, we give fractal interpolation functions generated on some special affine fractal interpolation curve by harmonic functions of fractal analysis. In the case of Koch Curve, same statement is regarded as a corollary, that is, we show that it is possible to ensure that graphs of fractal interpolation functions on the Koch Curve are attractors of iterated function systems.In the case of fractal interpolation functions generated on general affine fractal interpolation curves by harmonic functions of fractal analysis, all the discussions are similar to those performed in some special affine fractal interpolation curve if their harmonic structures are given.

Suggested Citation

  • Songil Ri & Songmin Nam & Hyonchol Kim, 2021. "Fractal Interpolation Functions On Affine Fractal Interpolation Curves," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 29(02), pages 1-16, March.
    • Handle: RePEc:wsi:fracta:v:29:y:2021:i:02:n:s0218348x21500468
    DOI: 10.1142/S0218348X21500468
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