The average errors for the Grünwald interpolation in the Wiener space
Summary: We determine the weakly asymptotically orders for the average errors of the Grünwald interpolation sequences based on the Chebyshev nodes in the Wiener space. By these results we know that for the \(L_{p}\)-norm \((2\leq q\leq 4)\) approximation, the \(p\)-average \((1\leq p\leq 4)\) error of some Grünwald interpolation sequences is weakly equivalent to the \(p\)-average errors of the best polynomial approximation sequence.
scientific article; zbMATH DE number 5637363