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

DOI10.1007/S10958-015-2492-4zbMath1335.42001OpenAlexW1179609841MaRDI QIDQ267604

Sergey A. Telyakovskii

Publication date: 11 April 2016

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-015-2492-4

zbMATH Keywords

trigonometric seriesblock series

Mathematics Subject Classification ID

Convergence and absolute convergence of Fourier and trigonometric series (42A20)

Related Items (1)

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

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the series of absolute values of blocks of trigonometric series
• On the uniform convergence and boundedness of a certain class of sine series
• Pointwise behavior of double Fourier series of functions of bounded variation
• Pointwise behavior of Fourier integrals of functions of bounded variation over \(\mathbb R\)
• Boundedness of the series of absolute values of blocks of sine series
• A note on the uniform convergence and boundedness of a new class of sine series
• On the uniform convergence of trigonometric series
• Some properties of the sum of the moduli of the terms of a grouped trigonometric series
• Refinement of the Dirichlet-Jordan and Young's theorems on Fourier series of functions of bounded variation

This page was built for publication: Series formed by the moduli of blocks of terms of trigonometric series. A survey