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. 
@article{DEMR_2017_7_a4,
     author = {M. G. Magomed-Kasumov},
     title = {Convergence rate estimate of sine and cosine series with $1/k^q$ coefficients},
     journal = {Daghestan Electronic Mathematical Reports},
     pages = {47--51},
     publisher = {mathdoc},
     volume = {7},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DEMR_2017_7_a4/}
}
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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/