Approximation Theory and its Applications

, Volume 13, Issue 1, pp 33–42 | Cite as

An asymptotic expansion formula of kernel function for Quasi Fourier-Legendre series and its application

  • Zhang Peixuan


Is this paper we shall give an asymptotic expansion formula of the kernel function for the Quasi Fourier-Legendre series on an ellipse, whose error is O(1/n2) and then applying it we shall show an analogue of an exact result in trigonometric series.


Total Variation Kernel Function Asymptotic Expansion Direct Calculation Approximation Problem 


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Copyright information

© Springer 1997

Authors and Affiliations

  • Zhang Peixuan
    • 1
  1. 1.Department of MathematicsShandong UniversityJinanPRC

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