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

DOI10.1134/S0081543817050200zbMath1376.42007MaRDI QIDQ1675333

Sergey A. Telyakovskii

Publication date: 27 October 2017

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

zbMATH Keywords

power weightsums of moduli of blocks

Mathematics Subject Classification ID

Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)

Related Items (1)

Power weight integrability for sums of moduli of blocks from trigonometric series

Cites Work

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• Series formed by the moduli of blocks of terms of trigonometric series. A survey
• Estimates for sums of moduli of blocks in trigonometric Fourier series
• On the uniform convergence and boundedness of a certain class of sine series
• On the properties of blocks of terms of the series \(\sum\frac{1}{k}\sin k\,x\)
• Boundedness of the series of absolute values of blocks of sine series

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