数学物理学报(英文版) ›› 2010, Vol. 30 ›› Issue (1): 148-160.doi: 10.1016/S0252-9602(10)60031-8

• 论文 • 上一篇    下一篇

AVERAGE ONESIDED WIDTHS OF SOBOLEV AND BESOV CLASSES

杨柱元, 杨宗文, 刘永平   

  1. Department of Mathematics, Beijing Normal University, Beijing 100875, |China
  • 收稿日期:2007-06-15 修回日期:2008-04-15 出版日期:2010-01-20 发布日期:2010-01-20
  • 基金资助:

    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).

AVERAGE ONESIDED WIDTHS OF SOBOLEV AND BESOV CLASSES

 YANG Zhu-Yuan, YANG Zong-Wen, LIU Yong-Ping   

  1. Department of Mathematics, Beijing Normal University, Beijing 100875, |China
  • Received:2007-06-15 Revised:2008-04-15 Online:2010-01-20 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).

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.

关键词: average onesided widths, Sobolev classes, Besov classes

Abstract:

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

中图分类号: 

  • 41A29