@article{Beckermann2011HowWD, title={How well does the Hermite-Pad{\'e} approximation smooth the Gibbs phenomenon?}, author={Bernhard Beckermann and Valeriy A. Kalyagin and Ana Cristina C Matos and Franck Wielonsky}, journal={Math. Comput.}, year={2011}, volume={80}, pages={931-958} }

- Published 2011 in Math. Comput.
DOI:10.1090/S0025-5718-2010-02411-1

In order to reduce the Gibbs phenomenon exhibited by the partial Fourier sums of a periodic function f , defined on [−π, π], discontinuous at 0, Driscoll and Fornberg considered so-called singular Fourier-Padé approximants constructed from the Hermite-Padé approximants of the system of functions (1, g1(z), g2(z)), where g1(z) = log(1−z) and g2(z) is… CONTINUE READING

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