数学物理学报(英文版) ›› 1998, Vol. 18 ›› Issue (1): 74-78.

• 论文 • 上一篇    下一篇

ON THE PERIODIC ORTHONORMAL WAVELET SYSTEM

戴道清, 林伟   

  1. Dept. of Math., Zhongshan University, Guangzhou 510275, China
  • 收稿日期:1995-12-11 修回日期:1997-01-17 出版日期:1998-03-25 发布日期:1998-03-25
  • 基金资助:
    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.

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.

摘要: 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.

关键词: wavelets, periodic function, partial sums, the best approximation

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