Approximation Theory and its Applications

, Volume 7, Issue 3, pp 1–9 | Cite as

Some results on L1-approximation

  • Sheng Shuyun


The new inequalities for L1-Approximation are obtained; J. W. Garrett, C. S. Ress and Č. V. Stanojevic's Theorem[2] and T. Xie's Theorem[3] are modified.


Positive Constant Fourier Series Fourier Coefficient Trigonometric Series Positive Sequence 
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  1. [1]
    Телжковский, Г. А., Фомцн, Г. А., Цн-ма АНСССР, 134(1975), 310–313.Google Scholar
  2. [2]
    Garrett, J. W., Ress, C. S. and Stanojevič, Č. V., PAMS, v72(1978), 535–537.MATHCrossRefGoogle Scholar
  3. [3]
    Xie Tingfan, “On L'Approximation of the Function with Quasi-Monotone Fourier Coefficients”, KeXue Tongbao, 4(1983).Google Scholar

Copyright information

© Springer 1991

Authors and Affiliations

  • Sheng Shuyun
    • 1
  1. 1.Department of MathematicsHangzhou UniversityHangzhouPRC

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