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Nonlinear fractal interpolation curves with function vertical scaling factors

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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.

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Authors and Affiliations

  1. Department of Mathematics, Kim Il Sung University, Pyongyang, Democratic People’s Republic of Korea

    JinMyong Kim, HyonJin Kim & HakMyong Mun

Authors
  1. JinMyong Kim
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  2. HyonJin Kim
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  3. HakMyong Mun
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Correspondence to HakMyong Mun.

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Kim, J., Kim, H. & Mun, H. Nonlinear fractal interpolation curves with function vertical scaling factors. Indian J Pure Appl Math 51, 483–499 (2020). https://doi.org/10.1007/s13226-020-0412-x

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  • DOI: https://doi.org/10.1007/s13226-020-0412-x

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