Hermite插值多项式的导数逼近函数的导数

APPROXIMATE TO THE DERIVATIVE OF THE FUNCTION BY THE DERIVATIVE OF HERMITE INTERPOLATION POLYNOMIAL

给出基于混合型Jacobi气点的Hermite插值多项式的导数和函数的县数之间的偏差的点态估计．

Suppose By Hermite interpolation polynomial based on the 'mixed' Jacobi's nodes (nodes:x=cos). Then the follow-ing result is valid:andwhere is the best approximation of f' by polynomials of degree≤n.