Average Widths of Sobolev-Wiener Classes with Mixed Smoothness in L_q(R^d)

Average Widths of Sobolev-Wiener Classes with Mixed Smoothness in L_q(R^d)

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摘要 In this paper, the average σ-K width of Sobolev-Wiener classes Spqr W with mixed smooth- ness in Lq（Rd） is studied for 1【q≤p【∞, and the weak asymptotical behavior of these quantities is obtained. In this paper, the average σ-K width of Sobolev-Wiener classes Spqr W with mixed smooth- ness in Lq（Rd） is studied for 1<q≤p<∞, and the weak asymptotical behavior of these quantities is obtained.

作者 He Ping WANG Department of Mathematics, Capital Normal University. Beijing, 100037, P. R. China

出处《Acta Mathematica Sinica,English Series》 SCIE CSCD 2001年第2期305-312,共8页 数学学报（英文版）

基金 Supported by Beijing Natural Science Foundation (Project No. 1982005)

关键词 Sobolev-Wiener classes with mixed smoothness Average σ-K width Step hyperbolic crosses Sobolev-Wiener classes with mixed smoothness Average σ-K width Step hyperbolic crosses

分类号 O174 [理学—基础数学]

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Acta Mathematica Sinica,English Series

2001年第2期

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Average Widths of Sobolev-Wiener Classes with Mixed Smoothness in L_q(R^d)

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