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Average Widths of Sobolev-Wiener Classes with Mixed Smoothness in L_q(R^d)
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作者 He Ping WANG Department of Mathematics, Capital Normal University. Beijing, 100037, P. R. China 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2001年第2期305-312,共8页
In this paper, the average σ-K width of Sobolev-Wiener classes S<sub>pq</sub><sup>r</sup> W with mixed smooth- ness in L<sub>q</sub>(R<sup>d</sup>) is studied for 1【... In this paper, the average σ-K width of Sobolev-Wiener classes S<sub>pq</sub><sup>r</sup> W with mixed smooth- ness in L<sub>q</sub>(R<sup>d</sup>) is studied for 1【q≤p【∞, and the weak asymptotical behavior of these quantities is obtained. 展开更多
关键词 Sobolev-Wiener classes with mixed smoothness Average σ-K width Step hyperbolic crosses
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