Geodesic
On the Uniform Convergence of Trigonometric Series
Matematičeskie zametki, Tome 81 (2007) no. 2, pp. 304-310

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

In this paper, we obtain sufficient conditions for the uniform convergence of trigonometric series with monotone (in the extended sense) coefficients.
Keywords: trigonometric series, monotone (in the extended sense) sequence, lacunary sequence
Mots-clés : uniform convergence, quasimonotone sequence, Abel transformation. 
@article{MZM_2007_81_2_a12,
     author = {S. Yu. Tikhonov},
     title = {On the {Uniform} {Convergence} of {Trigonometric} {Series}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {304--310},
     publisher = {mathdoc},
     volume = {81},
     number = {2},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2007_81_2_a12/}
}
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S. Yu. Tikhonov. On the Uniform Convergence of Trigonometric Series. Matematičeskie zametki, Tome 81 (2007) no. 2, pp. 304-310. http://geodesic.mathdoc.fr/item/MZM_2007_81_2_a12/