Boundedness of the series of absolute values of blocks of sine series

DOI10.1134/S0081543813080166zbMath1408.42004MaRDI QIDQ2446245

Sergey A. Telyakovskii

Publication date: 16 April 2014

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

zbMATH Keywords

boundednesssine seriesabsolute values of blocks

Mathematics Subject Classification ID

Trigonometric series of special types (positive coefficients, monotonic coefficients, etc.) (42A32)

Related Items (2)

Series formed by the moduli of blocks of terms of trigonometric series. A survey ⋮ Addition to V. P. Zastavnyi's paper ``Estimates for sums of moduli of blocks in trigonometric Fourier series

Cites Work

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• On the uniform convergence and boundedness of a certain class of sine series
• The nature of convergence of the Fourier series for functions of bounded variation
• Generalizations of some classical results under MVBV condition

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