Geodesic
On classes of infinitely differentiable functions
Sbornik. Mathematics, Tome 70 (1991) no. 1, pp. 11-30 
P. L. Ul'yanov. On classes of infinitely differentiable functions. Sbornik. Mathematics, Tome 70 (1991) no. 1, pp. 11-30. http://geodesic.mathdoc.fr/item/SM_1991_70_1_a1/
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Voir la notice de l'article provenant de la source Math-Net.Ru

Sharp estimates are established for the relationships among the rate of growth of the derivatives of an infinitely-differentiable periodic function, the behavior of its Fourier coefficients, and the trigonometric polynomials of best approximation to it.

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