Geodesic
Sine and cosine series in $L_\varphi$ classes
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2013), pp. 24-42

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We study sine and cosine series with monotone with respect to subsequences coefficients. We establish conditions under which their sums belong to classes $L_\varphi$.
Keywords: monotonicity, series, subsequence
Mots-clés : coefficients. 
@article{IVM_2013_10_a2,
     author = {B. V. Simonov},
     title = {Sine and cosine series in $L_\varphi$ classes},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {24--42},
     publisher = {mathdoc},
     number = {10},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2013_10_a2/}
}
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B. V. Simonov. Sine and cosine series in $L_\varphi$ classes. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2013), pp. 24-42. http://geodesic.mathdoc.fr/item/IVM_2013_10_a2/