AVERAGE ONESIDED WIDTHS OF SOBOLEV AND BESOV CLASSES  

作　　者：杨柱元 杨宗文 刘永平 

机构地区：[1]School of Mathematics and Computer Science,Yunnan Nationalities University [2]Department of Mathematics,Yunnan University [3]Department of Mathematics,Beijing Normal University

出　　处：《Acta Mathematica Scientia》2010年第1期148-160,共13页数学物理学报（B辑英文版）

基　　金：Supported by the Foundation of Education Department of Yunnan Province (07Z10533);Supported partly by the National Natural Science Foundation of China (10471010);partly by the project "Representation Theory and Related Topics" of the "985 program" of Beijing Normal University;Supported by the Science Foundation of Yunnan University (2008YB027)

摘　　要：The article concerns the average onesided widths of the Sobolev and Besov classes and the classes of functions with bounded moduli of smoothness. The weak asymptotic results are obtained for the corresponding quantities.The article concerns the average onesided widths of the Sobolev and Besov classes and the classes of functions with bounded moduli of smoothness. The weak asymptotic results are obtained for the corresponding quantities.

关 键 词：average onesided widths Sobolev classes Besov classes 

分 类 号：O174.41[理学—数学]