The Linear Approximation Characteristic Of Infinite-dimension Diagonal Operator With Probabilistic Case Setting And Average Case Setting

In this paper,we study the linear approximation characteristic of infinite dimension diagonal matrices in probabilistic setting and average case setting by discretization,and obtained the asymptotic degree of probabilistic linear (n,δ)-width and P-average linear n-width of two special diagonal operators on the infinite-dimension space l2equipped with the Gaussian measure μ in lq (1≤q≤2).The following are the results, andD=diag (d1,d2,…dm,…)is the real diagonal matrices.