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Some recent results on Walsh theory of equiconvergence. (English) Zbl 0612.42011
Approximation theory V, Proc. 5th Int. Symp., College Station/Tex. 1986, 173-190 (1986).
[For the entire collection see Zbl 0606.00013.]
Walsh showed that there is a close relation between the Lagrange interpolants in the roots of unity and the Taylor sections of certain analytic functions. Here we survey the recent literature which has sprung around this classic theorem of Walsh.

MSC:
42C10 Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.)
41A20 Approximation by rational functions
41A05 Interpolation in approximation theory
Citations:
Zbl 0606.00013