Vallee-Poussin算子在L_(2π)~p空间中的饱和阶  

Saturated Order of Vallee-Poussin Operators in L_(2π)~p Spaces

作　　者：纪明慧[1] 孙渭滨[1] 

机构地区：[1]宁夏大学数学计算机学院,银川750021

出　　处：《重庆工学院学报（自然科学版）》2008年第9期68-70,共3页Journal of Chongqing Institute of Technology

基　　金：宁夏高等学校科研基金资助项目(004M33)

摘　　要：以一致有界核为工具,得到了一致有界卷积算子列强型逼近的充分必要条件,并利用此条件得到了Vallee-Poussin算子在Lp2π空间中的饱和阶.In this paper, the sufficient and necessary conditions of strong type approximation of uniformly bounded convolution operator is obtained by a consistent bounded kernel, and the saturated order of ValleePoussin operators in L^P2π space is obtained with these conditions. K

关 键 词：饱和阶 卷积算子 Vallee-Poussin算子 

分 类 号：O174.41[理学—数学]