AN APPLICATION OF THE SAMPLING THEOREM

作     者：Long Jingfan (1) Fang Gensun (1) 

作者机构：1. Department of Mathematics Beijing Normal University 100875 Beijing PRC 

出 版 物：《Analysis in Theory and Applications》 (分析理论与应用（英文刊）)

年 卷 期：1999年第15卷第2期

页      面：84-89页

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

主　　题：Math AN APPLICATION OF THE SAMPLING THEOREM 

摘      要：Let Bσ,p,1 -p-∞, be the set of all functions from L8(R) which can be continued to entire functions of exponential type -σ. The well known Shannon sampling theorem and its generalization [1] state that every f∈Bσ,p, 1 0$$ It is well known that the Shannon sampling theorem plays an important role in many applied fields [1,2,7]. In this paper we give an application of sampling theorem to approximation theory.