Email Alert    RSS

Applied Mathematics and Mechanics (English Edition) ›› 2003, Vol. 24 ›› Issue (11): 1355-1361.

• 论文 • 上一篇    下一篇

APPROXIMATE SAMPLING THEOREM FOR BIVARIATE CONTINUOUS FUNCTION

杨守志1, 程正兴2, 唐远炎3   

  1. 1. Department of Mathematics, Shantou University, Shantou, Guangdong 515063, P. R. China;
    2. Faculty of Science, Xi’an Jiaotong University, Xi’an 710049, P. R. China;
    3. Department of Computer Science, Hongkong Baptist University, Kowloon Tong, Hong Kong, P. R. China
  • 收稿日期:2001-07-03 修回日期:2003-06-17 出版日期:2003-11-18 发布日期:2003-11-18
  • 基金资助:
    the NSF of Henan Province (984051900);the NSF of Henan Education Committee (98110015);the Excellent Teacher Foundation of High School in Henan Province

APPROXIMATE SAMPLING THEOREM FOR BIVARIATE CONTINUOUS FUNCTION

YANG Shou-zhi1, CHENG Zheng-xing2, TANG Yuan-yan 3   

  1. 1. Department of Mathematics, Shantou University, Shantou, Guangdong 515063, P. R. China;
    2. Faculty of Science, Xi’an Jiaotong University, Xi’an 710049, P. R. China;
    3. Department of Computer Science, Hongkong Baptist University, Kowloon Tong, Hong Kong, P. R. China
  • Received:2001-07-03 Revised:2003-06-17 Online:2003-11-18 Published:2003-11-18
  • Supported by:
    the NSF of Henan Province (984051900);the NSF of Henan Education Committee (98110015);the Excellent Teacher Foundation of High School in Henan Province

PDF

304

摘要： An approximate solution of the refinement equation was given by its mask, and the approximate sampling theorem for bivariate continuous function was proved by applying the approximate solution. The approximate sampling function defined uniquely by the mask of the refinement equation is the approximate solution of the equation, a piece-wise linear function, and posseses an explicit computation formula. Therefore the mask of the refinement equation is selected according to one’ s requirement, so that one may controll the decay speed of the approximate sampling function.

Abstract: An approximate solution of the refinement equation was given by its mask, and the approximate sampling theorem for bivariate continuous function was proved by applying the approximate solution. The approximate sampling function defined uniquely by the mask of the refinement equation is the approximate solution of the equation, a piece-wise linear function, and posseses an explicit computation formula. Therefore the mask of the refinement equation is selected according to one’ s requirement, so that one may controll the decay speed of the approximate sampling function.

中图分类号: 

APS Journals | CSTAM Journals | AMS Journals | EMS Journals | ASME Journals
Total visitors:
Copyright © Applied Mathematics and Mechanics (English Edition)
Address：P. O. Box 122, Shanghai University, 99 Shangda Road, Shanghai 200444, China
E-mail： amm@department.shu.edu.cn
Technical support: Beijing Magtech Co.ltd support@magtech.com.cn