在第一个插值点上的Hermite三点插指公式

Hermite three point interpolation formula under the first interpolation point

利用Hermite插值基函数,将求解非多项式插值问题转换为求解4个派生出来的多项式插值问题,在第1个插值点上具有一阶导数条件下,证明了Hermite三点插指公式的存在唯一性,并用两中方法构造出Hermite三点插指公式,最后给出了两个算例。

Solving a kind of non-polynomial interpolation problem can be transferred into solve 4 derivation polynomial interpolation problems with prime facterization in this paper, Both the existence and uniqueness of the Hermite three point interpolation formula in power exponent form has been proved under one first order derivative of the first interpolation point. It has been structured in two ways. Two examples have been given finally.