Geodesic
Uniform Convergence of Trigonometric Series with General Monotone Coefficients
Canadian journal of mathematics, Tome 71 (2019) no. 6, pp. 1445-1463

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DOI

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.
DOI : 10.4153/CJM-2017-046-9
Mots-clés : trigonometric series, general monotone sequence, uniform convergence 
Dyachenko, Mikhail; Mukanov, Askhat; Tikhonov, Sergey. Uniform Convergence of Trigonometric Series with General Monotone Coefficients. Canadian journal of mathematics, Tome 71 (2019) no. 6, pp. 1445-1463. doi: 10.4153/CJM-2017-046-9
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     title = {Uniform {Convergence} of {Trigonometric} {Series} with {General} {Monotone} {Coefficients}},
     journal = {Canadian journal of mathematics},
     pages = {1445--1463},
     year = {2019},
     volume = {71},
     number = {6},
     doi = {10.4153/CJM-2017-046-9},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-2017-046-9/}
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