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.
Md. Nasim Akhtar, and M. A. Navascués have contributed equally to this work.
Framework of Fractals in Data Analysis: Theory and Interpretation. Guest editors: Santo Banerjee, A. Gowrisankar.
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© The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
