Timeline for Tight upper bound on $\sum_{1\leq k\leq m} \sqrt{(n/k)+b}$
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 3, 2020 at 14:26 | vote | accept | kodlu | ||
| Nov 3, 2020 at 14:02 | comment | added | Iosif Pinelis | @kodlu : I just used Mathematica to compute the integral (which took Mathematica a surprisingly long time to do that) and then simplified the result mostly by hand. However, the integral can be taken by the standard in such a case substitution $u=\sqrt{1/x+c}$, which reduces the integral to one of a rational function. | |
| Nov 3, 2020 at 6:32 | comment | added | kodlu | Thank you! It looks like integration by parts for the last step? | |
| Nov 3, 2020 at 4:08 | history | answered | Iosif Pinelis | CC BY-SA 4.0 |