Gibbs phenomenon removal by adding Heaviside functions

@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}
}
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