Gibbs–Wilbraham phenomenon on Lagrange interpolation based on analytic weights on the unit circle Article Swipe

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E. Berriochoa , A. Cachafeiro , J.M. García Amor ·

YOU? · · 2019 · Open Access · · DOI: https://doi.org/10.1016/j.cam.2019.112376 · OA: W2966178308

This paper is devoted to study Lagrange interpolation based on nodal systems constituted by the roots of para-orthogonal polynomials with respect to analytic weights on the unit circle. The presented results address, in addition to algorithmic and convergence questions for continuous and discontinuous functions, a detailed study of the Gibbs-Wilbraham phenomenon.