H1(R)空间一个残差投影展开公式

摘要

给出了H1(R)空间中一个残差投影展开公式.推出了基函数的表达式，并给出相应的定理.此种残差投影展开公式可以避免内积运算中的积分计算，只是节点集{2j/k}上的插值计算，算法简便易行，是离散函数值逼近的理想工具%Presents the expansion formula in H1(R) given by using residua projection to change inner product into interpolation on the discrete point set { 2jk } so that the expansion of the fuctions in computation is simple and feasible, and points out that it is a good tool for approximation of the functions.