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Nonlinear fractal interpolation curves with function vertical scaling factors

Author

Listed:
  • JinMyong Kim

    (Kim Il Sung University)

  • HyonJin Kim

    (Kim Il Sung University)

  • HakMyong Mun

    (Kim Il Sung University)

Abstract

In this paper we present a method to generate new fractal interpolation curves. We ensure that attractors of nonlinear iterated function systems (IFSs) constructed by Geraghty contractions are graphs of some continuous functions which interpolate the given data. In particular, we give an explicit illustrative example to demonstrate the effectiveness of obtained results. Concerning IFSs, our methods and results extend known results from the literature.

Suggested Citation

  • JinMyong Kim & HyonJin Kim & HakMyong Mun, 2020. "Nonlinear fractal interpolation curves with function vertical scaling factors," Indian Journal of Pure and Applied Mathematics, Springer, vol. 51(2), pages 483-499, June.
    • Handle: RePEc:spr:indpam:v:51:y:2020:i:2:d:10.1007_s13226-020-0412-x
    DOI: 10.1007/s13226-020-0412-x
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