Timeline for Maximum and concavity of function
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Aug 9 at 0:14 | comment | added | fedja | @nervxxx Yes, quite a few inequalities in the derivation (though not all) are actually strict ones (except for the endpoints), so I believe that those should be sufficient to get the uniqueness of the maximum too. | |
| Aug 8 at 3:03 | comment | added | nervxxx | thank you! amazing method. minor question though: strictly speaking you seem to have shown the function is non-decreasing (not increasing) since the inequality is $\geq$ as opposed to $>$, would that be correct to understand? That would mean the symmetric point $x_1 = x_2 = x_3 = 1/3$ may not be the unique maximum. But I believe it should be so. Hence can all the inequalities in your proof be upgraded to strict inequalities? | |
| Aug 8 at 2:58 | vote | accept | nervxxx | ||
| Jul 31 at 12:25 | history | answered | fedja | CC BY-SA 4.0 |