Table 2 The numerical results for \(\pmb{t=0.984375}\)
From: Asymptotic expansions of the error for hyper-singular integrals with an interval variable
ex ∖ e ∖ n | \(\boldsymbol{2^{8}}\) | \(\boldsymbol{2^{9}}\) | \(\boldsymbol{2^{10}}\) | \(\boldsymbol{2^{11}}\) |
|---|---|---|---|---|
\(h^{0}-ex\) | 6.894e − 3 | 1.737e − 3 | 4.352e − 4 | 1.088e − 4 |
\(r_{n}^{(0)}\) | 21.989 | 21.997 | 21.999 | |
\(h^{2}-ex\) | 1.832e − 5 | 1.178e − 6 | 7.430e − 8 | |
\(r_{n}^{(1)}\) | 23.959 | 23.987 | ||
\(h^{4}-ex\) | 3.611e − 8 | 6.577e − 10 | ||
\(r_{n}^{(2)}\) | 25.779 | |||
\(h^{6}-ex\) | 9.495e − 11 |