Fourier series approximation of fractal functions

C. Kavitha; A. Gowrisankar; Fathalla A. Rihan; R. Rakkiyappan

doi:10.1016/j.padiff.2024.101038

Fourier series approximation of fractal functions

C. Kavitha, A. Gowrisankar, Fathalla A. Rihan, R. Rakkiyappan

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

Abstract

The fractal function is generated as an attractor of iterated function systems. This article examines the Fourier series representation of fractal interpolation functions, including affine and non-affine functions with different vertical scaling factors, as a way of expressing fractal functions explicitly. The given concepts have been illustrated with appropriate examples and graphical approaches.

Original language	English
Article number	101038
Journal	Partial Differential Equations in Applied Mathematics
Volume	13
DOIs	https://doi.org/10.1016/j.padiff.2024.101038
Publication status	Published - Mar 2025

Keywords

Fourier series
Fractal interpolation function
Iterated function system
α-fractal function

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/j.padiff.2024.101038

Cite this

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abstract = "The fractal function is generated as an attractor of iterated function systems. This article examines the Fourier series representation of fractal interpolation functions, including affine and non-affine functions with different vertical scaling factors, as a way of expressing fractal functions explicitly. The given concepts have been illustrated with appropriate examples and graphical approaches.",

keywords = "Fourier series, Fractal interpolation function, Iterated function system, α-fractal function",

author = "C. Kavitha and A. Gowrisankar and Rihan, {Fathalla A.} and R. Rakkiyappan",

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AU - Rakkiyappan, R.

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AB - The fractal function is generated as an attractor of iterated function systems. This article examines the Fourier series representation of fractal interpolation functions, including affine and non-affine functions with different vertical scaling factors, as a way of expressing fractal functions explicitly. The given concepts have been illustrated with appropriate examples and graphical approaches.

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KW - Iterated function system

KW - α-fractal function

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Fourier series approximation of fractal functions

Abstract

Keywords

ASJC Scopus subject areas

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