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AVERAGE σ-K WIDTH OF CLASS OF L_p(R^n) IN L_q (R^n)

AVERAGE σ-K WIDTH OF CLASS OF L_p(R ̄n) IN L_q (R ̄n)

作     者:LIU YONGPING(Department of Mathematics, Beijing Normal University, Beliing 100875, China.) 

作者机构:BEIJING NORMAL UNIVDEPT MATHBEIJING 100875PEOPLES R CHINA 

出 版 物:《Chinese Annals of Mathematics,Series B》 (数学年刊(B辑英文版))

年 卷 期:1995年第16卷第3期

页      面:351-360页

核心收录:

学科分类:07[理学] 070104[理学-应用数学] 0701[理学-数学] 

主  题:Average σ-K width Optimal subspace,Sobolev-Wiener class,Riesz potential. 

摘      要:The average σ-K width of the Sobolev-Wiener class in Lq(Rn) is studied for and the asymptotic behaviour of this quantity is determined. The exact value of average σ-K width of some class of smooth functions in L2(Rn) is obtained.

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