Lagrange插值的平均误差

THE AVERAGE ERRORS OF LAGRANGE INTERPOLATION

在加权LP-范数逼近意义下,讨论了基于第二类Tchebycheff多项式零点的Lagrange插值序列在Wiener空间下的加权P-平均误差,得到了相应量的强渐近阶。

For the weighted approximation in Lp- norm, we determine the strongly asymptotic order for the weighted e average errors of Lagrange interpolation sequence based on the extended Tchebycheff nodes on the Wiener space.