A CM-AM Ratio

• Autores: Conway Xu
• Localización: Mathematics magazine, ISSN 0025-570X, Vol. 83, Nº. 1, 2010, págs. 49-50
• Idioma: inglés
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• Resumen

  • If s > -1, then the limit of the ratio of the geometric mean of 1s, . . . , 2s,/sup> to their arithmetic mean, as n increases to infinity, is (s + 1)/es. This is proved using Riemann sums. Similar limits are also established for the arithmetic and geometric means separately.