一种C^2连续的三次样条插值方法

A C^2 Cubic Spline Interpolant

利用Bernstein多项式构造一种C^2连续的三次样条插值。证明其存在唯一性与一致收敛性．并给出误差上界的估计．与传统算法比较。避开了求解方程组的困难．

In this paper, a method for constructing a C^2 cubic interpolation spline function obtained is introduced by using Bernstein polynomial. The unique exsistence theorem and the convergent uniform theorem are given, and the error of interpolanting spline function is estimated.