Geodesic
Sequences of rectangular Fourier sums of continuous functions with given majorants of the mixed moduli of smoothness
Sbornik. Mathematics, Tome 187 (1996) no. 7, pp. 981-1004 Cet article a éte moissonné depuis la source Math-Net.Ru

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Approximation by the rectangular Fourier sums $S_N(f)$ is studied for classes of functions of several variables defined in terms of the orders of decrease of the mixed moduli of smoothness. The problem of the existence of a single (independent of $N$) function $f$ on which the order of the approximation in the corresponding class is realized is solved. 
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O. V. Davydov. Sequences of rectangular Fourier sums of continuous functions with given majorants of the mixed moduli of smoothness. Sbornik. Mathematics, Tome 187 (1996) no. 7, pp. 981-1004. http://geodesic.mathdoc.fr/item/SM_1996_187_7_a1/

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