Geodesic
Refinement of the Dirichlet--Jordan and Young's
Sbornik. Mathematics, Tome 198 (2007) no. 6, pp. 777-791

Voir la notice de l'article provenant de la source Math-Net.Ru

Necessary and sufficient conditions on an increasing sequence of positive integers $\{n_j\}$ ensuring that the Fourier series of a function of bounded variation has uniformly bounded sums of the absolute values of the blocks of terms with harmonics from $n_j$ to $n_{j+1}-1$ are established. Bibliography: 9 titles. 
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     author = {A. S. Belov and S. A. Telyakovskii},
     title = {Refinement of the {Dirichlet--Jordan} and {Young's}},
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A. S. Belov; S. A. Telyakovskii. Refinement of the Dirichlet--Jordan and Young's. Sbornik. Mathematics, Tome 198 (2007) no. 6, pp. 777-791. http://geodesic.mathdoc.fr/item/SM_2007_198_6_a1/