On a fixed point in the metric space of normalized Hausdorff moment sequences
نویسندگان
چکیده
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 [3]. 2010 Mathematics Subject Classification: primary 37C25; secondary 44A60.
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