On a fixed point in the metric space of normalized Hausdorff moment sequences
Abstract
We show that the transformation (xn)n 1 (1/(1+x1+...+xn))n 1 of the compact set of sequences (xn)n 1 of numbers from the unit interval [0,1] has a unique fixed point, which is attractive. The fixed point turns out to be a Hausdorff moment sequence studied in papers by Berg and Dur\'an in 2008.
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