一类Hermite插值在一重积分Wiener空间下的平均误差

Average errors of a kind of Hermite interpolation on the 1-fold integrated Wiener space

在加权L_2-范数下,讨论基于扩充的第二类Chebyshev多项式零点的Hermite插值多项式列在一重积分Wiener空间下的平均误差,得到了相应量的弱渐近阶,所得结果表明结点数量增加有时反而使逼近效果更差.

In the L_2-norm,the average errors of the Hermite interpolation sequence based on the extended Chebyshev nodes of the second kind on the 1-fold integrated Wiener space are discussed,and the weakly asymptotic order is determined.The results show that increasing the numbers of nodes sometimes makes the approximation effect worse.