Acta mathematica scientia, Series B >
AVERAGE ONESIDED WIDTHS OF SOBOLEV AND BESOV CLASSES
Received date: 2007-06-15
Revised date: 2008-04-15
Online published: 2010-01-20
Supported by
Supported partly by the National Natural Science Foundation of China (10471010) and 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).
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.
Key words： average onesided widths; Sobolev classes; Besov classes
YANG Zhu-Yuan , YANG Zong-Wen , LIU Yong-Ping . AVERAGE ONESIDED WIDTHS OF SOBOLEV AND BESOV CLASSES[J]. Acta mathematica scientia, Series B, 2010 , 30(1) : 148 -160 . DOI: 10.1016/S0252-9602(10)60031-8
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