Timeline for Bound on the ratio of harmonic and arithmetic mean
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jul 18, 2019 at 21:57 | vote | accept | Delio Mugnolo | ||
| Jul 18, 2019 at 14:29 | comment | added | Conrad | no problem - this way seems simpler and more direct than the Mitrinovic book (however that one and Mitrinovic's newer book about inequalities of functions, their integrals and their derivatives with Pecaric and Fink are utterly awesome and fundamental references) but that's probably also doable fairly elementarily | |
| Jul 18, 2019 at 14:26 | comment | added | Delio Mugnolo | Sorry, stupid of me. Of course you're right, I answered too quickly. | |
| Jul 18, 2019 at 14:21 | comment | added | Conrad | the arithmetic and harmonic means absorb each an $n$ | |
| Jul 18, 2019 at 13:57 | comment | added | Delio Mugnolo | Sorry, I don't get it. Taking $a_k:=\sqrt{a_k}$ and $b_k:=\frac{1}{\sqrt{a_k}}$, wouldn't one find $(\sum a_k b_k)^2=n^2$? But this factor seems to be missing in Kodlu's formula. | |
| Jul 18, 2019 at 12:34 | history | edited | user44143 | CC BY-SA 4.0 |
reformatted
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| Jul 18, 2019 at 11:48 | history | answered | Conrad | CC BY-SA 4.0 |