Analytical properties and the box-counting dimension of nonlinear hidden variable recurrent fractal interpolation functions constructed by using Rakotch's fixed point theorem
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DOI: 10.1016/j.amc.2024.128901
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- Mi-Gyong Ri & Chol-Hui Yun, 2021. "Smoothness And Fractional Integral Of Hidden Variable Recurrent Fractal Interpolation Function With Function Vertical Scaling Factors," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 29(06), pages 1-17, September.
- Manuj Verma & Amit Priyadarshi, 2024. "Fractal Surfaces Involving Rakotch Contraction For Countable Data Sets," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 32(02), pages 1-12.
- Yun, CholHui & Ri, MiGyong, 2020. "Box-counting dimension and analytic properties of hidden variable fractal interpolation functions with function contractivity factors," Chaos, Solitons & Fractals, Elsevier, vol. 134(C).
- Ri, Mi-Gyong & Yun, Chol-Hui, 2022. "Riemann-Liouville fractional derivatives of hidden variable recurrent fractal interpolation functions with function scaling factors and box dimension," Chaos, Solitons & Fractals, Elsevier, vol. 156(C).
- 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.
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Keywords
Recurrent fractal interpolation function; Hidden variable; Rakotch fixed point theorem; Hölder continuous function; Smoothness; Stability; Box-counting dimension;All these keywords.
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