摘要
首先给出了α-样条函数的概念 ,并给出了α-样条函数的性质 .然后讨论了利用 α-样条函数进行插值的问题 ,得到了 α-样条插值函数的存在唯一性定理 ;并给出了误差分析及收敛性 .
spline function is given and its property is studied first. Then ,the problem of α spline interpolation is discussed. The main result is that with the given condition there exists α spline interpolation function and its optimization, and the former is unique. A numerical example is given in the end of the paper.
出处
《纯粹数学与应用数学》
CSCD
2002年第3期272-277,共6页
Pure and Applied Mathematics
关键词
α-样条函数
插值
优化
spline function, interpolation, fitting
