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Natural Science, Mathematics, 2025
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Convergence acceleration of Fourier series revisited

This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Submitted: 2024-12-20; Published: 2024-12-20
CC BY-NC 4.0 This work is licensed under Creative Commons Attribution–NonCommercial International License (CC BY-NC 4.0).

Abstract

A generalization of the Krylov-Eckhoff method is investigated for removing of the classi-cal Gibbs phenomenon. Convergence acceleration scheme for Fourier expansions of piecewisesmooth functions is derived. Numerical results are presented and discussed