This paper concerns the problem of average σ-K width and average σ-L width of some anisotropic Besov-Wiener classes $S_{pq\theta }^r b(\mathbb{R}{}^d) and S_{pq\theta }^r B(\mathbb{R}{}^d) in L_q (\mathbb{R}{}^d) (1...This paper concerns the problem of average σ-K width and average σ-L width of some anisotropic Besov-Wiener classes $S_{pq\theta }^r b(\mathbb{R}{}^d) and S_{pq\theta }^r B(\mathbb{R}{}^d) in L_q (\mathbb{R}{}^d) (1 \leqslant q \leqslant p< \infty )$ . The weak asymptotic behavior is established for the corresponding quantities.展开更多
This paper concerns the problem of average σ-width of Sobolev–Wiener classes , and Besov-Wiener classes in the metric L q (R d ) for 1 ≤ q ≤ p ≤ ∞. The weak asymptotic results concerning the average linear wid...This paper concerns the problem of average σ-width of Sobolev–Wiener classes , and Besov-Wiener classes in the metric L q (R d ) for 1 ≤ q ≤ p ≤ ∞. The weak asymptotic results concerning the average linear widths, the average Bernstein widths and the infinite-dimensional Gel’fand widths are obtained, respectively.展开更多
文摘This paper concerns the problem of average σ-K width and average σ-L width of some anisotropic Besov-Wiener classes $S_{pq\theta }^r b(\mathbb{R}{}^d) and S_{pq\theta }^r B(\mathbb{R}{}^d) in L_q (\mathbb{R}{}^d) (1 \leqslant q \leqslant p< \infty )$ . The weak asymptotic behavior is established for the corresponding quantities.
文摘This paper concerns the problem of average σ-width of Sobolev–Wiener classes , and Besov-Wiener classes in the metric L q (R d ) for 1 ≤ q ≤ p ≤ ∞. The weak asymptotic results concerning the average linear widths, the average Bernstein widths and the infinite-dimensional Gel’fand widths are obtained, respectively.
