## How well does the Hermite-PadÃ© approximation smooth the Gibbs phenomenon?

- Bernhard Beckermann, Valeriy A. Kalyagin, Ana Cristina C Matos, Franck Wielonsky
- Math. Comput.
- 2011

Highly Influenced

@inproceedings{Eckhoff2010AccurateAE, title={Accurate and Efficient Reconstruction of Discontinuous Functions from Truncated Series Expansions}, author={Knut S. Eckhoff}, year={2010} }

- Published 2010

Knowledge of a truncated Fourier series expansion for a discontinuous 2^-periodic function, or a truncated Chebyshev series expansion for a discontinuous nonperiodic function defined on the interval [-1, 1], is used in this paper to accurately and efficiently reconstruct the corresponding discontinuous function. First an algebraic equation of degree M for the M locations of discontinuities in each period for a periodic function, or in the interval (-1, 1 ) for a nonperiodic function, isâ€¦Â CONTINUE READING