Some results on Continuous dependence of fractal functions on the Sierpiński gasket

In this article, we show that \(\alpha\)-fractal functions defined on Sierpiński gasket (denoted by \(\triangle\)) depend continuously on the parameters involved in the construction. In the latter part of this article, the continuous dependence of parameters on \(\alpha\)-fractal functions defined o...

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Bibliographic Details
Published in:arXiv.org 2023-04
Main Authors: Agrawal, Vishal, Prajapati, Ajay, Sahu, Abhilash, Som, Tanmoy
Format: Article
Language:English
Subjects:
Continuity (mathematics)
Fractals
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Summary:In this article, we show that \(\alpha\)-fractal functions defined on Sierpiński gasket (denoted by \(\triangle\)) depend continuously on the parameters involved in the construction. In the latter part of this article, the continuous dependence of parameters on \(\alpha\)-fractal functions defined on \(\triangle\) is shown graphically.
ISSN:2331-8422