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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2015, Volume 21, Number 4, Pages 277–281 (Mi timm1223)  
This article is cited in 1 scientific paper (total in 1 paper)

Addition to V. P. Zastavnyi's paper “Estimates for sums of moduli of blocks in trigonometric Fourier series”

S. A. Telyakovskii

Steklov Mathematical Institute, Moscow, 119991 Russia
Full-text PDF (125 kB) Citations (1)
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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.
Keywords: sums of moduli of blocks, power weight.
Funding agency Grant number
Russian Science Foundation 14-50-00005
This work was supported by the Russian Science Foundation (project no. 14-50-00005).
Received: 20.04.2015
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2017, Volume 297, Issue 1, Pages 186–190
DOI: https://doi.org/10.1134/S0081543817050200
Bibliographic databases:
Document Type: Article
UDC: 517.518.45
Language: Russian
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
Citation in format AMSBIB
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\pages 186--190
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    • This publication is cited in the following 1 articles:
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