Abstract:
Results on the integrability and integrability with power weight for sums of moduli of blocks from the series $\sum1/k\sin kx$ are extended to the class of series $\sum b_k\sin kx$ with coefficients $b_k$ of a more general form.
Citation:
S. A. Telyakovskii, “Addition to V. P. Zastavnyi's paper “Estimates for sums of moduli of blocks in trigonometric Fourier series””, Trudy Inst. Mat. i Mekh. UrO RAN, 21, no. 4, 2015, 277–281; Proc. Steklov Inst. Math. (Suppl.), 297, suppl. 1 (2017), 186–190
\Bibitem{Tel15}
\by S.~A.~Telyakovskii
\paper Addition to V.~P.~Zastavnyi's paper ``Estimates for sums of moduli of blocks in trigonometric Fourier series''
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2015
\vol 21
\issue 4
\pages 277--281
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\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2017
\vol 297
\issue , suppl. 1
\pages 186--190
\crossref{https://doi.org/10.1134/S0081543817050200}
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Linking options:
https://www.mathnet.ru/eng/timm1223
https://www.mathnet.ru/eng/timm/v21/i4/p277
This publication is cited in the following 1 articles:
V. P. Zastavnyi, A. S. Levadnaya, “Power wight integrability for sums of moduli of blocks from trigonometric series”, Proc. Steklov Inst. Math. (Suppl.), 303, suppl. 1 (2018), S223–S230
Citation in format AMSBIB
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