The exact values of average σ_B width and infinite dimensional σ_G width of Sobolev class B\+r\-p(R) in the metric L\-p(R)(1≤p≤∞) are obtained and the exact (σ∈N) and strong asymptotic (σ>1) results of infi...The exact values of average σ_B width and infinite dimensional σ_G width of Sobolev class B\+r\-p(R) in the metric L\-p(R)(1≤p≤∞) are obtained and the exact (σ∈N) and strong asymptotic (σ>1) results of infinite_dimensional σ_G width of Sobolev_Wiener class W\+r pq(R) in the metric L\-q(R) and its dual case_W\+r\-q(R) in the metric L qp(R)(1≤q≤p≤∞) are achieved.展开更多
文摘The exact values of average σ_B width and infinite dimensional σ_G width of Sobolev class B\+r\-p(R) in the metric L\-p(R)(1≤p≤∞) are obtained and the exact (σ∈N) and strong asymptotic (σ>1) results of infinite_dimensional σ_G width of Sobolev_Wiener class W\+r pq(R) in the metric L\-q(R) and its dual case_W\+r\-q(R) in the metric L qp(R)(1≤q≤p≤∞) are achieved.
