摘要
构造了具有再生核的张量积空间W2 1(R)(×)W2 1(R),利用再生核与算子张量积方法,讨论了W2 1(R)(×)W2 1(R)空间中的有界线性泛函L,当{f(xi,yi)}i n＝1已知时,形如Ln(f)＝Σi=1 n wif(xi,yi)的最佳逼近Ln*,当{xi,yi)}i=1 ∞在R2中稠密时,有 n→∞ 1im ‖L-L n *‖=0,由此得到数值积分公式.
In this paper, we construct a tensor product space W21(R)(?)W21(R) which has a reproducingkernel, and give the best approximating Ln* for {(xi, yi)}ni=1(?)R2 of following form of bounded linear functional L in the space W21(R)(?)W21(R). If {(xi, yo)}∞i=1 is dease on R2, we havelimn n→∞||L-L*n||=0.
出处
《哈尔滨理工大学学报》
CAS
2002年第3期22-24,共3页
Journal of Harbin University of Science and Technology
