Chinese Quarterly Journal of Mathematics ›› 1999, Vol. 14 ›› Issue (4): 27-31.

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On n┐K Width of Certain Function Classes Defined by Linear Differential Operators in L2 Space 

  

  1. 内蒙古师范大学数学系 内蒙古呼和浩特010022,内蒙古师范大学计算机系 内蒙古呼和浩特010022 
  • Received:1997-05-16 Online:1999-12-30 Published:2024-09-03
  • About author:WU Ga-ridi(1962-),male(Meng),native of Fuxin,Liaoning,Master of Science,associate professor of Inner Mongolia Normal University,engages in function approximation theory. ​
  • Supported by:
    Supported by Inner M ongolia Natural Science Foundation of China(990301-2) .

Abstract: 设M(u)是给定的N 函数, A= Dr + ...  是r阶线性微分算子,WM(A)是由M(u)和A所确定的Sobolev-Orlicz类,本文给出n-K 宽度dn(WM(A),L2[0,1])的渐近估计 .

Key words:  , 线性算子, 光滑函数类, 宽度,  ,

CLC Number: