分段2n+1次Hermite插值多项式收敛性

Piecewise 2n+1 degree Hermite interpolating polynomial

文献 [1,2 ]分别给出了分段 3次、分段 5次Hermite插值多项式的收敛性 ,本文是上述结果的自然推广 .首先给出分段 2n +1次Hermite插值多项式的定义和表示 ,给出其基函数及其性质 。

The definition and representation of piecewise 2 n +1 degree Hermite interpolation polynomial,and its basis function and properties were proposed in this paper.Meanwhile,its convergence properties was also discussed.