Lagrange插值在一重积分Wiener空间下的平均误差

Average errors for Lagrange interpolation on 1-fold integrated Wiener space

在加权L2范数逼近意义下确定了基于扩充的第一类Chebyshev结点组的Lagrange插值多项式列在一重积分Wiener空间下平均误差的强渐近阶.

For the weighted approximation in L2-norm, the strongly asymptotic order for the average errors of Lagrange interpolation sequence based on the extended Chebyshev nodes of the first kind on the 1-fold integrated Wiener space is determined.