Volume no :1, Issue no: 2, August 2008

Journal of Mathematical Sciences: Advances and Applications

ON UNIFORM TRUNCATION ERROR BOUNDS FOR SAMPLING EXPANSION FROM LOCAL AVERAGES

Author's: SHOUZHEN ZENG
Pages: [215] - [225]
Received Date: March 20, 2008
Submitted by:

Abstract

In this paper,we study the truncation error bounds in a new method -local averages. The uniform bounds error by local average is estimated for and satisfying the following decay condition:
(1)
associated with the Shannon sampling representations.

Keywords

truncation error, local averages, sampling theorem.