Some inequalities for power means : a problem from "The logarithmic mean revisited"

Jameson, Graham (2023) Some inequalities for power means : a problem from "The logarithmic mean revisited". American Mathematical Monthly, 130 (3). pp. 276-278. ISSN 0002-9890

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Abstract

We establish some inequalities comparing power means of two numbers with combinations of the arithmetic and geometric means. A conjecture from [Citation1] is confirmed.