In this paper,we consider the relative n-widths of two kinds of periodic convolution classes,Kp(K)and Bp(G),whose convolution kernels are NCVD-kernel K and B-kernel G.The asymptotic estimations of Kn(Kp(K),Kp(K))q and...In this paper,we consider the relative n-widths of two kinds of periodic convolution classes,Kp(K)and Bp(G),whose convolution kernels are NCVD-kernel K and B-kernel G.The asymptotic estimations of Kn(Kp(K),Kp(K))q and Kn(Bp(G),Bp(G))q are obtained for p=1 and∞,1≤q≤∞.展开更多
In this paper. we study the average n-K width of the convolution class B_(pq)(G)(or B_(?)(G)), for which the kernel G(x) is a PF density, in the metric L_q(R)(or L_(qp)(R)) for the case 1≤q<p ≤∞, and obtain some...In this paper. we study the average n-K width of the convolution class B_(pq)(G)(or B_(?)(G)), for which the kernel G(x) is a PF density, in the metric L_q(R)(or L_(qp)(R)) for the case 1≤q<p ≤∞, and obtain some exact results.展开更多
基金supported by National Natural Science Foundation of China(Grant No.10771016)the"985"Programme of Beijing Normal University
文摘In this paper,we consider the relative n-widths of two kinds of periodic convolution classes,Kp(K)and Bp(G),whose convolution kernels are NCVD-kernel K and B-kernel G.The asymptotic estimations of Kn(Kp(K),Kp(K))q and Kn(Bp(G),Bp(G))q are obtained for p=1 and∞,1≤q≤∞.
基金The author was supported by the National Natural Science Found of China.
文摘In this paper. we study the average n-K width of the convolution class B_(pq)(G)(or B_(?)(G)), for which the kernel G(x) is a PF density, in the metric L_q(R)(or L_(qp)(R)) for the case 1≤q<p ≤∞, and obtain some exact results.
