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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 the -norm(2≤≤4) approximation, the -average (1≤≤4) error of some Grünwald interpolation sequences is weakly equivalent to the -averageerrors of the best polynomial approximation sequence

The Average Errors for the Grünwald Interpolation in the Wiener Space