Timeline for Is the harmonic series worse than any summable series?
Current License: CC BY-SA 4.0
16 events
| when toggle format | what | by | license | comment | |
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| Sep 12, 2021 at 14:00 | comment | added | Anixx | Harmonic series is summable. It is not convergent. | |
| Mar 18, 2021 at 19:17 | comment | added | Sascha | @EthanDlugie no worries, thank you for looking at the question. :) | |
| Mar 18, 2021 at 18:13 | vote | accept | Sascha | ||
| Mar 18, 2021 at 16:41 | comment | added | Ethan Dlugie | @Sascha whoops, I didn't read that part of the question. I just saw that the domain of $F_\epsilon$ was bounded sequences. | |
| Mar 18, 2021 at 14:59 | comment | added | Liviu Nicolaescu | This is a side question prompted by the post. There are many summability methods, Cesaro, Abel, Borel,.... Is there one summability method that makes the harmonic series convergent? | |
| Mar 18, 2021 at 14:06 | comment | added | Mateusz Kwaśnicki | @GeraldEdgar: While this is indeed a relatively simple problem, I have seen many more basic questions answered at this forum. | |
| Mar 18, 2021 at 14:04 | comment | added | Mateusz Kwaśnicki | @AlexandreEremenko: Since, for example, $2^{-\epsilon/t} \le C(\epsilon) t^2$ for $t > 0$, $F_\epsilon(x)$ is finite for every square-summable sequence. :-) | |
| Mar 18, 2021 at 14:00 | history | edited | Iosif Pinelis | CC BY-SA 4.0 |
edited title; edited tags
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| Mar 18, 2021 at 13:58 | answer | added | Iosif Pinelis | timeline score: 6 | |
| Mar 18, 2021 at 12:02 | comment | added | Gerald Edgar | You are asking in the wrong forum. | |
| Mar 18, 2021 at 11:25 | comment | added | Sascha | @EthanDlugie that sequence is not summable though? | |
| Mar 18, 2021 at 11:06 | review | Close votes | |||
| Mar 19, 2021 at 14:55 | |||||
| Mar 18, 2021 at 5:40 | comment | added | Ethan Dlugie | What about $x=(2/n)_n$? | |
| Mar 18, 2021 at 4:02 | history | edited | Sascha | CC BY-SA 4.0 |
added 52 characters in body
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| Mar 18, 2021 at 2:49 | history | edited | Sascha | CC BY-SA 4.0 |
deleted 5 characters in body
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| Mar 18, 2021 at 2:44 | history | asked | Sascha | CC BY-SA 4.0 |