W2^2[0,∞）中数值积分公式

The Numerical Integrating Formula in the Space of W_2~3 [0, ∞)

本文在再生核空间W_2~2[0,∞)中讨论无穷积分的数值计算问题。利用该空间中再生核函数的特殊性能,给出该空间中函数无穷积分的数值计算公式,并且证明对任意散乱求积节点系其数值积分公式的收敛性。

In this paper, the problem of the computation of infinite integration in the space of reproducing kernd W_2~2 [0, ∞) is analysed. Basing on the special property of the ruction of reproducing kernal, we constructed an effective computing formula, and demon strated its convergence for arbitrally choosing integrating network.