Acta mathematica scientia,Series B ›› 1998, Vol. 18 ›› Issue (1): 74-78.

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ON THE PERIODIC ORTHONORMAL WAVELET SYSTEM

Dai Daoqing, Lin Wei   

  1. Dept. of Math., Zhongshan University, Guangzhou 510275, China
  • Received:1995-12-11 Revised:1997-01-17 Online:1998-03-25 Published:1998-03-25
  • Supported by:
    This research is partly supported by The Doctor Progrannn Foundation of Educational Ccmmnitke of China and NSF of Guangdong and the Foundation of Zhongshan University Advanced Reseach Centre;The first named author is also supported by NSF of China.

Abstract: This paper concerns with the point-wise convergence of a wavelet series for Lp functions and the characterization of Holder class by both the partial sums approximation and the best approximation.

Key words: wavelets, periodic function, partial sums, the best approximation

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