Open Access
Research Article
Fourier series analysis and computation based on function characteristics
Warin Sripanyasripanya@webmail.npru.ac.thDivision of MathematicsNakhon Pathom Rajabhat UniversityNakhon Pathom, 73000, ThailandView full profile → , *Wannarut RungrottheeraCorresponding authorw_rungrott@outlook.co.thDepartment of MathematicsSilpakorn UniversityNakhon Pathom, 73000, ThailandView full profile → , Pacharapol Hyunsinhyunsin_p@su.ac.thDepartment of MathematicsSilpakorn UniversityNakhon Pathom, 73000, ThailandView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 10 Dec 2024
- Published Online:
- 30 Sep 2025
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JIM-2352
- Pages:
- 2109–2120
Abstract
This paper aims to study the Fourier series of a function defined on the interval [–l/2, 0] under various conditions. Furthermore, when a function is given on [a, b], its Fourier series is obtained by applying a suitable transformation to an associated function defined on either [–l, l] or [0, l].
Keywords
Subject Classifications
42A16
References
[1] X. H. Ding, “Several Problems of Fourier Series Expansion,” Journal of Daxian Teachers College (Natural Science Edition), vol. 14, pp. 1–4 (2004).
[2] R. Kent Nagle, Edward B. Saff, and Arthur David Snider, Fundamentals of Differential Equations and Boundary Value Problems, 6th ed. Boston, MA, USA: Pearson Education (2012).
[3] G. P. Tolstov, Fourier Series. New York, NY, USA: Dover Publications (1962).
[4] C. Zhang, “Further Discussion on the Calculation of Fourier Series,” Applied Mathematics, vol. 6, pp. 594–598 (2015).
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