摘要
介绍具有再生核的函数 Hilbert 空间 W_2~2(-∞,∞),给出其再生核的有限表达式,并利用它构造一个无穷积分的数值积分公式.它的主要优点是随节点个数的增加,误差在 Sobolev 范数意义下单调下降.
In this paper we investigated the function space W_2~2 (-∞,∞)which has a reproducing kernel,We obtained a finite expression of the reproducing kernel and used it to construct a formula of the numerical integration of the infinite integral.The principal advant;age of the formula is that the error is monotonically decreased in Sobolev norm as the nodes number n increases.
关键词
再生核
数值积分
无穷积分
reproducing kernel
numerical integration
