Timeline for How can a divergent nested radical be regularized (analogously to Cesaro sum regularization of a divergent series)?
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
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| Aug 14, 2022 at 16:54 | comment | added | Iosif Pinelis | Do you have a response to the answer below? | |
| Dec 22, 2020 at 15:03 | comment | added | Buzz | @GeraldEdgar Yes, but if I used the same averaging methods used for divergent sequences of partial sums, I would find that the regularized limit of $1,0,1,0,\ldots$ would be $\frac{1}{2}$, which is not the meaningful answer when that sequence arises out of the nested radicals. | |
| Dec 22, 2020 at 15:01 | comment | added | Gerald Edgar | Instead of regularizing a series you can regularize a sequence (the sequence or partial sums of the series). Similarly, your divergent nested radical corresponds to a limit of a sequence of finite nested radicals. Thus, all the methods used on divergent series can be used here, also. Hardy's book, Divergent Series is the classic compendium of this material. | |
| Dec 22, 2020 at 2:28 | answer | added | Iosif Pinelis | timeline score: 7 | |
| Dec 22, 2020 at 1:17 | review | First posts | |||
| Dec 22, 2020 at 8:06 | |||||
| Dec 22, 2020 at 1:16 | history | asked | Buzz | CC BY-SA 4.0 |