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On the properties of blocks of terms of the series \(\sum\frac{1}{k}\sin k\,x\)

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Publication:1933276
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DOI10.1007/S11253-012-0680-7zbMath1257.42008OpenAlexW2056562806MaRDI QIDQ1933276

Sergey A. Telyakovskii

Publication date: 23 January 2013

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-012-0680-7


zbMATH Keywords

decompositionweight


Mathematics Subject Classification ID

Summability and absolute summability of Fourier and trigonometric series (42A24)


Related Items (5)

Representation of GreenЎs functions of the wave equation on a segment in finite terms ⋮ Addition to V. P. Zastavnyi's paper ``Estimates for sums of moduli of blocks in trigonometric Fourier series ⋮ Power weight integrability for sums of moduli of blocks from trigonometric series ⋮ On the series of absolute values of blocks of trigonometric series ⋮ On \(L^p\)-integrability of a special double sine series formed by its blocks




Cites Work

  • Unnamed Item
  • An improvement of the Dirichlet-Jordan test for Fourier series of functions of bounded variation




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