Timeline for Generalized limits
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 3, 2019 at 22:03 | comment | added | user76284 | @LSpice The edit does not invalidate this answer. The original question already asked for an explicit transformation. I just edited it to make it less confusing. | |
| Nov 3, 2019 at 21:28 | comment | added | LSpice | @user76284, re: your comment, while it is a good idea to edit your question, it is not generally considered polite to do so in a way that completely invalidates existing answers. | |
| Nov 3, 2019 at 19:03 | comment | added | user76284 | Good point about Banach limits. If I understand correctly, though, these are non-constructive, right? | |
| Nov 3, 2019 at 19:01 | comment | added | user76284 | To give an idea of what I meant by an "explicit" sequence transformation, one example is the Cesàro transformation described in the second half of the original question. | |
| Nov 3, 2019 at 18:58 | comment | added | Gerald Edgar | Maybe consult the material on Banach limits, in particular connect your ideas to the notion "almost convergent" found there. en.wikipedia.org/wiki/Banach_limit | |
| Nov 3, 2019 at 18:55 | comment | added | Gerald Edgar | I guess $f$ is explicit exactly when $\text{Lim}$ was already explicit. | |
| Nov 3, 2019 at 18:54 | comment | added | user76284 | But is there an explicit such $f$? | |
| Nov 3, 2019 at 18:52 | history | answered | Gerald Edgar | CC BY-SA 4.0 |