https://doi.org/10.1140/epjs/s11734-023-00865-x
Regular Article
Local 
-fractal interpolation function
1
Department of Mathematics, Presidency University, 86/1, College Street, 700 073, Kolkata, India
2
Departamento de Matemática Aplicada, Universidad de Zaragoza, Zaragoza, Spain
Received:
28
January
2023
Accepted:
3
May
2023
Published online:
31
May
2023
Constructions of the (global) fractal interpolation functions on standard function spaces got a lot of attention in the last centuries. Motivated by the newly introduced local fractal functions corresponding to a local iterated functions system which is the generalization of the traditional iterated functions system we construct the local non-affine - fractal functions in this article. A few examples of the graphs of these functions are provided. A fractal operator which takes the classical function to its local fractal counterpart is defined and some of its properties are also studied.
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