Timeline for Existence of functions satisfying a homogeneity condition
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
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| Mar 3, 2021 at 3:22 | comment | added | Willie Wong | @Iosif: you are correct. I have the right asymptotics but wrong proof. Unfortunately I cannot delete an accepted answer. I've edited the post to highlight what you pointed out. | |
| Mar 3, 2021 at 3:21 | history | edited | Willie Wong | CC BY-SA 4.0 |
added 679 characters in body
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| Mar 3, 2021 at 0:23 | comment | added | Iosif Pinelis | When you say "Since $f$ is non-decreasing, the function $\alpha\mapsto \alpha f(\alpha)$ is strictly increasing and hence invertible with strictly increasing inverse", it is not quite clear to me what you mean here by the inverse. I mean, $f$ was not assumed to be continuous, and so, the function $\alpha\mapsto \alpha f(\alpha)$ may fail to be continuous. So, the range of the latter function may be disconnected. | |
| Mar 2, 2021 at 23:19 | vote | accept | char | ||
| Mar 2, 2021 at 22:35 | history | answered | Willie Wong | CC BY-SA 4.0 |