Geodesic
Optimal recovery of functions and their derivatives from Fourier coefficients
Sbornik. Mathematics, Tome 193 (2002) no. 3, pp. 387-407 Cet article a éte moissonné depuis la source Math-Net.Ru

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The problems of the optimal recovery of functions and their derivatives from approximate values of their Fourier coefficients are considered. Explicit expressions for optimal recovery methods in classes of smooth and analytic functions defined on various compact manifolds are presented. 
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G. G. Magaril-Il'yaev; K. Yu. Osipenko. Optimal recovery of functions and their derivatives from Fourier coefficients. Sbornik. Mathematics, Tome 193 (2002) no. 3, pp. 387-407. http://geodesic.mathdoc.fr/item/SM_2002_193_3_a5/

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