Timeline for For a continuous function $f:\mathbb{R}^{+}\to\mathbb{R}^{+}$ does $(f(x)-f(y)) (f(\frac{x+y}{2}) - f(\sqrt{xy}))=0$ imply that $f$ is constant?
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
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| S Feb 24, 2022 at 0:38 | history | suggested | Addison Cartmell | CC BY-SA 4.0 |
The original argument is flawed: g is undefined on (0,1/2) and does not have 1 as an attractor (observe g(z) < z for z< 1). I added a bit to the argument to fix the flaw.
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| Feb 23, 2022 at 21:47 | review | Suggested edits | |||
| S Feb 24, 2022 at 0:38 | |||||
| May 6, 2017 at 6:22 | vote | accept | Aditya Guha Roy | ||
| May 5, 2017 at 19:03 | comment | added | user78249 | Slick, very slick. | |
| May 5, 2017 at 17:46 | history | answered | Terry Tao | CC BY-SA 3.0 |