【摘要】 论文在文献 [1 ]的基础上 ,给出了一般的Hermite插值基函数的显式表示的一个简洁证明和递推算法 ;利用一般的Hermite插值基函数 ,推出了多点的Taylor展式更多还原

【Abstract】 The explicit expression of general Hermite interpola tion polynomial has appeared in some books. In this paper, a simple derivation i s proposed for the explicit expression and a recurrence algorithm for computing the Hermite basic functions. In addition, a mathematical program is given and an example is provided to demonstrate the algorithm. At last, the explicit expr ession of the general Hermite interpolation basic functions is employed to obtai n the Taylor expression of a smooth function on several points.更多还原