I was wondering if there is a generalisation of the Gibbs phenomenon, and the value or general behaviour of a function expansion, in a general orthonormal, complete basis?
2026-03-25 06:19:23.1774419563
Gibbs phenomenon/ behabiour at discontinuities for general eigenfunction expansions
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Gibb's phenomenon is a curse for all approximation schemes based on orthogonal functions. In this article, it is studied for the classical orthogonal polynomials.