Timeline for Orthogonal polynomials w.r.t. an arbitrary measure
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Aug 26, 2022 at 0:22 | comment | added | dotdashdashdash | ah, nvm, I see it - you can see $p_n$ is orthogonal to any monomial in $\{1, ..., x^{n-1}\}$ by just taking the expectation and noting that the bottom row is now a bunch of moments equal to one of the above rows, so the determinant's zero, and that's enough. sweet trick. thanks! | |
| Aug 25, 2022 at 22:53 | comment | added | dotdashdashdash | amazing! this is what I was looking for. is there any easy way to see why these polynomials are orthogonal (e.g. using some rule for the product of two determinants)? | |
| Aug 25, 2022 at 22:51 | vote | accept | dotdashdashdash | ||
| Aug 25, 2022 at 22:43 | vote | accept | dotdashdashdash | ||
| Aug 25, 2022 at 22:44 | |||||
| S Aug 17, 2022 at 5:34 | review | First answers | |||
| Aug 17, 2022 at 6:53 | |||||
| S Aug 17, 2022 at 5:34 | history | answered | Christian Sattlecker | CC BY-SA 4.0 |