Geodesic
Optimal recovery of functions and their derivatives from Fourier coefficients
Sbornik. Mathematics, Tome 193 (2002) no. 3, pp. 387-407 
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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     title = {Optimal recovery of functions and their derivatives from {Fourier} coefficients},
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Voir la notice de l'article provenant de la source Math-Net.Ru

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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