Geodesic
Convergence rate estimate of sine and cosine series with $1/k^q$ coefficients
Daghestan Electronic Mathematical Reports, Tome 7 (2017), pp. 47-51.

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

Exact order-of-magnitude estimates of convergence rate of sine and cosine series with coefficients $1/k^q$, $q>1$, are obtained. In case when $0 \le q \le 1$ growth rate exact order-of-magnitude estimates of partial sums of sine and cosine series are proven.
Keywords: sine series, cosine series, lower estimate, convergence rate, growth rate. 
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     author = {M. G. Magomed-Kasumov},
     title = {Convergence rate estimate of sine and cosine series with $1/k^q$ coefficients},
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M. G. Magomed-Kasumov. Convergence rate estimate of sine and cosine series with $1/k^q$ coefficients. Daghestan Electronic Mathematical Reports, Tome 7 (2017), pp. 47-51. http://geodesic.mathdoc.fr/item/DEMR_2017_7_a4/

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[2] Bari N.K., Trigonometricheskie ryady, GIFML, M., 1961, 936 pp. | MR