Timeline for Maximization of a certain ratio for a concave positive function
Current License: CC BY-SA 3.0
7 events
when toggle format | what | by | license | comment | |
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Nov 2, 2012 at 19:08 | vote | accept | Andrey | ||
Nov 2, 2012 at 19:08 | vote | accept | Andrey | ||
Nov 2, 2012 at 19:08 | |||||
Nov 2, 2012 at 2:27 | answer | added | fedja | timeline score: 1 | |
Nov 1, 2012 at 8:14 | comment | added | Andrey | Dear Fedja, thank you for this suggestion. I am delighted it is not hard, but could you possibly show how to do this? that you cannot beat 1/(4x^2) everywhere on any (0, a)? | |
Nov 1, 2012 at 3:51 | comment | added | fedja | Sorry for an idiotic question: I misread "concave" as "convex". In what sense is the growth you want "the fastest"? It is not hard to show that you cannot beat $1/(4x^2)$ everywhere on any interval $(0,a)$ but you can go a bit above it at places at the cost of going below it at some other places... | |
Oct 30, 2012 at 12:34 | comment | added | fedja | Do you need $g$ to stay bounded near $0$? | |
Oct 30, 2012 at 12:12 | history | asked | Andrey | CC BY-SA 3.0 |