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math.FA2022★ 1 cited
Set-valued α-fractal functions
Megha Pandey, Tanmoy Som, Saurabh Verma
In this paper, we introduce the concept of the -fractal function and fractal approximation for a set-valued continuous map defined on a closed and bounded interval of real numbe…
math.FA2022
Fractal polynomials On the Sierpiński gasket and some dimensional results
V. Agrawal, S. Verma, T. Som
In this paper, we explore some significant properties associated with a fractal operator on the space of all continuous functions defined on the Sierpiński Gasket (SG). We also pro…
math.FA2022
Box Dimension and Fractional Integrals of Multivariate Fractal Interpolation Functions
Vishal Agrawal, Megha Pandey, Tanmoy Som
In this article, we construct the multivariate fractal interpolation functions for a given data points and explore the existence of -fractal function corresponding to the multiv…