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The present paper first establishes a decomposition result for f(x)∈ C r C r+1. By using this decomposition we thus can obtain an estimate of ∣f(x) - L n (f,x)∣ which reflects the influence of the position of the x's and ω(f (r+1),δ)j, j = 0,1,...,s, on the error of approximation.

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