@article{Rim2013GibbsPR, title={Gibbs phenomenon removal by adding Heaviside functions}, author={Kyung Soo Rim and Beong In Yun}, journal={Adv. Comput. Math.}, year={2013}, volume={38}, pages={683-699} }

- Published 2013 in Adv. Comput. Math.
DOI:10.1007/s10444-011-9255-7

We define a kind of spectral series to filter off completely the Gibbs phenomenon without overshooting and distortional approximation near a point of discontinuity. The construction of this series is based on the method of adding the Fourier coefficients of a Heaviside function to the given Fourier partial sums. More precisely, we prove the uniform… CONTINUE READING

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