Whittaker-Kotelnikov-Shannov type sampling theory and the estimates of aliasing error  

作　　者：房艮孙 

机构地区：[1]Department of Mathematics, Beijing Normal University, Beijing 100875, China

出　　处：《Chinese Science Bulletin》1995年第4期278-282,共5页

基　　金：Project supported by the National Natural Science Foundation of China

摘　　要：Let E be a finite interval or real axis R and denote by L_p（E）, 1≤p≤∞, the classical Lebesque space with usual norm. Let r∈N and denote by L_p^r（R）, 1≤p≤∞, the subspace of functions f in L_p（R） for which the （r-1）-th derivative exists and is locally absolutely continuous on R and ||f^f||P（R） is finite. Further

关 键 词：bandlimited functions ESTIMATE of ERROR ALIASING ERROR MODULUS of smoothness. 

分 类 号：O211[理学—概率论与数理统计]