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