Reduction of the Gibbs phenomenon for smooth functions with jumps by the \(\varepsilon \)-algorithm

DOI10.1016/j.cam.2007.11.011zbMath1165.65087OpenAlexW2101639249MaRDI QIDQ935791

Franck Wielonsky, Ana C. Matos, Bernhard Beckermann

Publication date: 8 August 2008

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2007.11.011

zbMATH Keywords

convergence accelerationhypergeometric functionsFourier seriesGibbs phenomenonPadé-Chebyshev approximants\(\varepsilon\)-algorithmPadé-Fourier approximants

Mathematics Subject Classification ID

Approximation by rational functions (41A20) Padé approximation (41A21) Numerical methods for trigonometric approximation and interpolation (65T40) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)

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