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Relative n-widths of periodic convolution classes with NCVD-kernel and B-kernel 认领 引用
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作者 YANG Wei LIU YongPing 《Science China Mathematics》 SCIE 2010年第1期165-172,共8页
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
关键词 relative n-width periodic convolution class NCVD-kernel B-kernel
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AVERAGE σ-K WIDTH OF CONVOLUTION FUNCTION CLASS OF Lpq (R) IN L_q(R) 认领 引用
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作者 Liu Yongping Beijing Normal University. Beijing 《Analysis in Theory and Applications》 1994年第1期34-46,共13页
In this paper. we study the average n-K width of the convolution class Bpq(G)(or B?(G)), for which the kernel G(x) is a PF density, in the metric L_q(R)(or Lqp(R)) for the case 1≤q<p ≤∞, and obtain some... In this paper. we study the average n-K width of the convolution class Bpq(G)(or B?(G)), for which the kernel G(x) is a PF density, in the metric L_q(R)(or Lqp(R)) for the case 1≤q<p ≤∞, and obtain some exact results. 展开更多
关键词 IN L_q K WIDTH OF CONVOLUTION FUNCTION CLASS OF L pq AVERAGE Math
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