Every positive rational number has eventually greedy best Egyptian underapproximations, with and without repeated denominators, and a Liouville example with unique greedy best underapproximations is constructed.
Nazarov, Sergei Treil, and Alexander L
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Eventually greedy best Egyptian underapproximations of rational numbers via optimal control
Every positive rational number has eventually greedy best Egyptian underapproximations, with and without repeated denominators, and a Liouville example with unique greedy best underapproximations is constructed.