用样条逼近Sobolev函数类W_p^1(R)的逼近误差

The Approximation Error of Sobolev Classes W_p^1(R) Approximated by Spline Functions

作者研究了定义在全实轴上的Sobolev函数类W_p^1(R)的逼近问题.以一次样条函数作为逼近工具,给出了p=1和p=∞时的逼近误差.

The approximation problem in Sobolev classes Wp^1（R） defined on the real line was studied. The approximation tool is the polynomial spline of degree 1 with notes { k/n }kez. The approximation error was studied when p = 1 and p = ∞.