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@article{TM_2013_280_a18,
author = {A. Yu. Popov and S. A. Telyakovskii},
title = {Estimate for the integral of the absolute value of a~sine series with monotone coefficients},
journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
pages = {270--274},
publisher = {mathdoc},
volume = {280},
year = {2013},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TM_2013_280_a18/}
}
TY - JOUR AU - A. Yu. Popov AU - S. A. Telyakovskii TI - Estimate for the integral of the absolute value of a~sine series with monotone coefficients JO - Trudy Matematicheskogo Instituta imeni V.A. Steklova PY - 2013 SP - 270 EP - 274 VL - 280 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TM_2013_280_a18/ LA - ru ID - TM_2013_280_a18 ER -
%0 Journal Article %A A. Yu. Popov %A S. A. Telyakovskii %T Estimate for the integral of the absolute value of a~sine series with monotone coefficients %J Trudy Matematicheskogo Instituta imeni V.A. Steklova %D 2013 %P 270-274 %V 280 %I mathdoc %U http://geodesic.mathdoc.fr/item/TM_2013_280_a18/ %G ru %F TM_2013_280_a18
A. Yu. Popov; S. A. Telyakovskii. Estimate for the integral of the absolute value of a~sine series with monotone coefficients. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Orthogonal series, approximation theory, and related problems, Tome 280 (2013), pp. 270-274. http://geodesic.mathdoc.fr/item/TM_2013_280_a18/
[1] Young W.H., “On the Fourier series of bounded functions”, Proc. London Math. Soc. Ser. 2, 12 (1913), 41–70 | DOI | MR | Zbl
[2] Telyakovskii S.A., “Nekotorye svoistva ryadov po sinusam s monotonnymi koeffitsientami”, Anal. math., 18:4 (1992), 307–323 | DOI | MR
[3] Hartman Ph., Wintner A., “On sine series with monotone coefficients”, J. London Math. Soc., 28 (1953), 102–104 | DOI | MR | Zbl