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-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.
