Copyright © 2009 Yingfang Du and Huajie Zhao. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
We determine the weakly asymptotically orders for the average errors
of the Grünwald interpolation sequences based on the Tchebycheff nodes
in the Wiener space. By these results we know that for the -norm
approximation, the -average error of some Grünwald interpolation sequences is weakly equivalent to the -average
errors of the best polynomial approximation sequence.