摘要
In this paper, we get the exact values of average σ-B width and infinite dimensional σ-G width of Sobolev class Br p(R) in the metric Lp(R) (1≤p≤∞) and obtain the exact (σ∈N) and strong asymptotic (σ>1) results of infinite dimensional σ-G widths of Sobolev-Wiener class Wr pq (R) in the metric Lq(R) and its dual case Wr p(R) in the metric Lqp(R) (1≤q≤p≤∞).
In this paper, we get the exact values of average σ-B width and infinite dimensional σ-G width of Sobolev class Br p(R) in the metric Lp(R) (1≤p≤∞) and obtain the exact (σ∈N) and strong asymptotic (σ>1) results of infinite dimensional σ-G widths of Sobolev-Wiener class Wr pq (R) in the metric Lq(R) and its dual case Wr p(R) in the metric Lqp(R) (1≤q≤p≤∞).
