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On the distributions of fractal functions that interpolate data points with Gaussian noise

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  • Luor, Dah-Chin

Abstract

We first construct a fractal interpolation function f〈Tμ〉 corresponding to the data set Δμ={(xk,μk):k=0,1,…,N}, where x0

Suggested Citation

  • Luor, Dah-Chin, 2020. "On the distributions of fractal functions that interpolate data points with Gaussian noise," Chaos, Solitons & Fractals, Elsevier, vol. 135(C).
    • Handle: RePEc:eee:chsofr:v:135:y:2020:i:c:s0960077920301454
    DOI: 10.1016/j.chaos.2020.109743
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    References listed on IDEAS

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    1. Luor, Dah-Chin, 2018. "Fractal interpolation functions for random data sets," Chaos, Solitons & Fractals, Elsevier, vol. 114(C), pages 256-263.
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    Cited by:

    1. Liu, Chiao-Wen & Luor, Dah-Chin, 2023. "Applications of fractal interpolants in kernel regression estimations," Chaos, Solitons & Fractals, Elsevier, vol. 175(P1).
    2. Dai, Zhong & Liu, Shutang, 2023. "Construction and box dimension of the composite fractal interpolation function," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).

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    1. Liu, Chiao-Wen & Luor, Dah-Chin, 2023. "Applications of fractal interpolants in kernel regression estimations," Chaos, Solitons & Fractals, Elsevier, vol. 175(P1).
    2. Dai, Zhong & Liu, Shutang, 2023. "Construction and box dimension of the composite fractal interpolation function," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).

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