研究了如下嵌入空间中的线性随机n-宽度:Bs1p1,q1( Rd ,α) Bs2p2,q2( Rd ),1≤p1,p2,q1,q2≤∞,min(α,δ)> dmax 1p2-1p1,(0).其中:δ=s1-s2-d 1p1-1p(2);Bs1p1,q1(Rd,α)表示加权的Besov空间;权函数为ωα(x)=(1+|x|2)2α,α>0.并且利用离散化方法得到了相应的渐进阶.%It was determined the asymptotic degree of the linear stochastic n-widths by the method of discreti-zation of the compact embedding Bs1 (Rd ,α) Bs2 p1,q1 p2,q2 (Rd ),1 ≤ p1 ,p2 ,q1 ,q2 ≤ ∞ ,min(α,δ)> dmax 1p(- 1p ,)2 1 0 . Where δ = s1 - s2 - d 1p( )1- 1p ,Bs1 2 p1,q1 (Rd ,α)denoted a weighted Besov space and the weight was given byωα(x)=(1 + | x | 2 )α2 ,α > 0.
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