Shape Preserving Zipper Hidden Variable Fractal Interpolation Function
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866917400014749696 |
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| author | Yun, Chol Hui Pak, Yu Jong Ri, Mi Gyong Ri, Kyong Ju |
| author_facet | Yun, Chol Hui Pak, Yu Jong Ri, Mi Gyong Ri, Kyong Ju |
| contents | In this paper, we study a new class of zipper fractal interpolation functions (ZFIFs) constructed using a zipper hidden variable iterated function system (ZHVIFS). ZFIFs have more diverse shape than usual fractal interpolation functions, and the hidden variable iterated function system is more general than the iterated function system. Firstly, we introduce a ZHVIFS and construct univariate ZFIFs using the ZHVIFS. Next, we find the conditions on vertical scaling factors for the ZFIFs to preserve boundedness, positivity and piecewise slop of the data set, which are demonstrated through examples. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_09699 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Shape Preserving Zipper Hidden Variable Fractal Interpolation Function Yun, Chol Hui Pak, Yu Jong Ri, Mi Gyong Ri, Kyong Ju Dynamical Systems 03E72, 28A80, 41A05 In this paper, we study a new class of zipper fractal interpolation functions (ZFIFs) constructed using a zipper hidden variable iterated function system (ZHVIFS). ZFIFs have more diverse shape than usual fractal interpolation functions, and the hidden variable iterated function system is more general than the iterated function system. Firstly, we introduce a ZHVIFS and construct univariate ZFIFs using the ZHVIFS. Next, we find the conditions on vertical scaling factors for the ZFIFs to preserve boundedness, positivity and piecewise slop of the data set, which are demonstrated through examples. |
| title | Shape Preserving Zipper Hidden Variable Fractal Interpolation Function |
| topic | Dynamical Systems 03E72, 28A80, 41A05 |
| url | https://arxiv.org/abs/2604.09699 |