Timeline for Conditions under which inequality holds for all triplets of non-negative reals
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jul 16, 2017 at 17:37 | comment | added | fedja | @CoffeeTableEspresso You are welcome :-). The solution is fairly standard, by the way, especially part 1 (what can be more natural than analyzing the second differential at the point of the suspected maximum?). The trickery in the second part was just to write the inequality in the form that allows one to make simple estimates that are still exact up to the third order (since the quadratic terms coincide, you cannot afford any sloppiness with the third order terms, so your next hope is the fourth order). This was just to explain how I did it, so that you'll be able to do the next one yourself. | |
| Jul 16, 2017 at 16:56 | vote | accept | CoffeeTableEspresso | ||
| Jul 16, 2017 at 16:55 | comment | added | CoffeeTableEspresso | I'm not sure about "nice" (after all, one can invent infinitely many inequalities for 3 positive numbers) Yes, of course one can come up with as many random inequalities as one wants. I should have said "Within the context of a larger problem I'm working on, proving this will give us a nice result." Thanks for the solution by the way, very clever. | |
| Jul 15, 2017 at 23:56 | history | answered | fedja | CC BY-SA 3.0 |