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Trigonometric series with piecewise mean value bounded variation coefficients

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Publication:370913
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DOI10.1007/s11425-012-4543-3zbMath1279.42003OpenAlexW2050726276MaRDI QIDQ370913

Fenjun Feng, Li-jun Zhang, Song Ping Zhou

Publication date: 20 September 2013

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-012-4543-3


zbMATH Keywords

convergenceintegrabilitytrigonometric seriespiecewise mean value bounded variation


Mathematics Subject Classification ID

Convergence and absolute convergence of Fourier and trigonometric series (42A20) Trigonometric series of special types (positive coefficients, monotonic coefficients, etc.) (42A32)




Cites Work

  • Ultimate generalization to monotonicity for uniform convergence of trigonometric series
  • On the uniform convergence of special sine integrals
  • On the uniform convergence of sine integrals
  • On the uniform convergence of trigonometric series with rarely changing coefficients
  • Remarks on convergence of trigonometric series with special varying coefficients
  • On examples concerning integrability theorems for trigonometric series
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