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On the relations among best approximation and Fourier coefficients

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Publication:1042763
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DOI10.1007/S11425-007-0162-9zbMath1176.42002OpenAlexW2079406188MaRDI QIDQ1042763

Ping Zhou, Dansheng Yu, Song Ping Zhou

Publication date: 7 December 2009

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

Full work available at URL: https://doi.org/10.1007/s11425-007-0162-9



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)


Related Items (2)

On generalizations of theorems of Leindler ⋮ A new class of numerical sequences and its applications to uniform convergence of sine series




Cites Work

  • On the uniform convergence and boundedness of a certain class of sine series
  • A generalization of the monotonicity condition and applications
  • A new condition for the uniform convergence of certain trigonometric series
  • What Strong Monotonicity Condition on Fourier Coefficients can make the Ratio || f - S n (f) || /E n (f) Bounded?
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