Then, by advanced studying of the partial sums of the wavelet expansions, equivalent theorems of relation between the convergence of the partial sums of wavelet expansions at jumping points and Gibbs phenomenon are established.

  • 在此基础上,通过对小波级数的部分和的进一步研究,建立了小波级数的部分和在跳跃间断点处的收敛性和Gibbs现象之间的关系的等价定理。

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