Uniform Convergence of Trigonometric Series with General Monotone Coefficients

Dyachenko, Mikhail ; Mukanov, Askhat ; Tikhonov, Sergey

Canadian journal of mathematics, Tome 71 (2019) no. 6, pp. 1445-1463

Résumé

We study criteria for the uniform convergence of trigonometric series with general monotone coefficients. We also obtain necessary and sufficient conditions for a given rate of convergence of partial Fourier sums of such series.

Détail

DOI : 10.4153/CJM-2017-046-9

Mots-clés : trigonometric series, general monotone sequence, uniform convergence

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