Table 5 The minimum values min int of \(\vert \int _{-1}^{1} y(t)(1-t)\,\mathrm{d}t \vert \) and \(|a_{n-1}|\)
From: On conjectures of Stenger in the theory of orthogonal polynomials
n | min int | min \(|a_{n-1}|\) | n | min int | min \(|a_{n-1}|\) |
|---|---|---|---|---|---|
5 | 2.273(−1) | 4.425(−1) | 25 | 4.906(−1) | 1.088(−1) |
10 | 4.228(−1) | 2.062(−1) | 30 | 4.809(−1) | 1.126(−1) |
15 | 4.200(−1) | 1.358(−1) | 35 | 4.595(−1) | 1.162(−1) |
20 | 4.966(−1) | 1.193(−1) | 40 | 4.435(−1) | 1.295(−1) |