On the series of absolute values of blocks of trigonometric series

DOI10.1134/S0081543814010179zbMath1306.42005MaRDI QIDQ483394

Sergey A. Telyakovskii

Publication date: 17 December 2014

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

zbMATH Keywords

summabilityFourier seriesblocks of trigonometric series

Mathematics Subject Classification ID

Summability and absolute summability of Fourier and trigonometric series (42A24) Trigonometric series of special types (positive coefficients, monotonic coefficients, etc.) (42A32)

Related Items (1)

Series formed by the moduli of blocks of terms of trigonometric series. A survey

Cites Work

• On the properties of blocks of terms of the series \(\sum\frac{1}{k}\sin k\,x\)
• Some properties of the sum of the moduli of the terms of a grouped trigonometric series
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