The Average Errors for the Grünwald Interpolation in the Wiener Space

摘要

We determine the weakly asymptotically orders for the average errorsof the Grünwald interpolation sequences based on the Tchebycheff nodesin the Wiener space. By these results we know that for theLp-norm(2≤q≤4)approximation, thep-average(1≤p≤4)error of some Grünwald interpolation sequences is weakly equivalent to thep-averageerrors of the best polynomial approximation sequence.