Timeline for A question about asymptotic affinity and strict convexity with unbounded means
Current License: CC BY-SA 4.0
14 events
| when toggle format | what | by | license | comment | |
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| Aug 24, 2020 at 11:33 | history | edited | Asaf Shachar | CC BY-SA 4.0 |
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| Aug 21, 2020 at 5:25 | history | edited | Asaf Shachar | CC BY-SA 4.0 |
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| Aug 20, 2020 at 17:24 | comment | added | Ron P | @AsafShachar. Got it. See another proof below. Thanks! | |
| Aug 20, 2020 at 11:53 | answer | added | Ron P | timeline score: 2 | |
| Aug 20, 2020 at 11:38 | comment | added | Asaf Shachar | @RonP No, I don't assume that, why? Do you have a simpler proof for the case where $F$ is increasing? | |
| Aug 20, 2020 at 11:32 | comment | added | Ron P | Is assumed that $F$ is increasing? | |
| Aug 19, 2020 at 6:27 | comment | added | Pietro Majer | Yes! I realized it with the tentative counterexample in the answer then deleted. The fact it does not work may be turned into a positive proof | |
| Aug 18, 2020 at 18:31 | comment | added | Asaf Shachar | Dear Pietro, it seems that your suggestion cannot work. You may see Iosif Pinelis's answer below which proves that the answer is in fact positive. | |
| Aug 18, 2020 at 18:29 | vote | accept | Asaf Shachar | ||
| Aug 18, 2020 at 15:25 | answer | added | Iosif Pinelis | timeline score: 4 | |
| Aug 18, 2020 at 7:21 | comment | added | Pietro Majer | One can also just do it for powers of 2, b_n=2^n | |
| Aug 18, 2020 at 6:39 | comment | added | Pietro Majer | It should be easy to make a strictly convex function with $F(2n)/2+F(0)/2 -F(n)=1/n$, as envelope of a family of lines. (that is a counterexample with $a_n=0, c_n=n, b_n=2n, \lambda_n=1/2$) | |
| Aug 18, 2020 at 6:20 | history | edited | Asaf Shachar | CC BY-SA 4.0 |
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| Aug 18, 2020 at 5:20 | history | asked | Asaf Shachar | CC BY-SA 4.0 |