Abstract
Conditions of integrability with a power weight are obtained for the sums of series of absolute values of blocks of sine series and cosine series under certain special conditions imposed on the coefficients of these series.
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Original Russian Text © S.A. Telyakovskii, 2014, published in Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2014, Vol. 284, pp. 243–251.
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Telyakovskii, S.A. On the series of absolute values of blocks of trigonometric series. Proc. Steklov Inst. Math. 284, 235–243 (2014). https://doi.org/10.1134/S0081543814010179
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DOI: https://doi.org/10.1134/S0081543814010179