Non-Stationary Fractal Functions on the Sierpiński Gasket

Non-Stationary Fractal Functions on the Sierpiński Gasket

Following the work on non-stationary fractal interpolation (<i>Mathematics</i> 7, 666 (2019)), we study non-stationary or statistically self-similar fractal interpolation on the Sierpiński gasket (SG). This article provides an upper bound of box dimension of the proposed interpolants in...

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Bibliographic Details
Main Authors: Anuj Kumar, Salah Boulaaras, Shubham Kumar Verma, Mohamed Biomy
Format: Article
Language:English
Published: MDPI AG 2024-11-01
Series:Mathematics
Subjects:
Hausdorff dimension
self-Similarity
Sierpiński gasket
fractal function
Hölder continuity
fractional derivatives
Online Access:https://www.mdpi.com/2227-7390/12/22/3463
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