Table 4 Numerical results of \(\frac{1}{\aleph _{1}+\aleph _{2}}\), \(\Gamma _{ q}(\eta + 1)\), Δ, and suitable r of \(\mathbb{F}\mathrm{D}q-\mathbb{DP}\) (24) with \(q=\frac{3}{10}\) in Example 5.1
n | \(\frac{1}{\aleph _{1}+\aleph _{2}}\) | \(\Gamma _{ q}(\eta + 1)\) | Δ | r≥ |
|---|---|---|---|---|
\(q = \frac{3}{10}\) | ||||
1 | 0.2994 | 1.3701 | 0.0094 | 5.7907 |
2 | 0.2972 | 1.3602 | 0.0094 | 5.8352 |
3 | 0.2966 | 1.3574 | 0.0094 | 5.8492 |
4 | 0.2964 | 1.3565 | 0.0094 | 5.8534 |
5 | 0.2963 | 1.3562 | 0.0094 | 5.8547 |
6 | 0.2963 | 1.3562 | 0.0094 | 5.8551 |
7 | 0.2963 | 1.3561 | 0.0094 | 5.8552 |
8 | 0.2963 | 1.3561 | 0.0094 |
|
9 | 0.2963 | 1.3561 | 0.0094 | 5.8553 |
\(q = \frac{1}{2}\) | ||||
1 | 0.5530 | 1.9486 | 0.0082 | 3.0831 |
2 | 0.5301 | 1.9053 | 0.0083 | 3.2186 |
3 | 0.5189 | 1.8853 | 0.0083 | 3.2894 |
⋮ | ⋮ | ⋮ | ⋮ | ⋮ |
10 | 0.5080 | 1.8664 | 0.0083 | 3.3614 |
11 | 0.5080 | 1.8664 | 0.0083 | 3.3617 |
12 | 0.5079 | 1.8663 | 0.0083 | 3.3619 |
13 | 0.5079 | 1.8663 | 0.0083 | 3.3619 |
14 | 0.5079 | 1.8663 | 0.0083 |
|
15 | 0.5079 | 1.8663 | 0.0083 | 3.3620 |
\(q = \frac{8}{9}\) | ||||
1 | 8.9368 | 11.4057 | 0.0059 | 0.1881 |
2 | 7.6865 | 10.6748 | 0.0059 | 0.2187 |
3 | 6.7896 | 10.1838 | 0.0060 | 0.2476 |
⋮ | ⋮ | ⋮ | ⋮ | ⋮ |
10 | 4.3214 | 8.8257 | 0.0060 | 0.3892 |
11 | 4.1818 | 8.7441 | 0.0061 | 0.4022 |
12 | 4.0643 | 8.6747 | 0.0061 | 0.4139 |
⋮ | ⋮ | ⋮ | ⋮ | ⋮ |
75 | 3.3010 | 8.2022 | 0.0061 | 0.5097 |
76 | 3.3009 | 8.2022 | 0.0061 |
|
77 | 3.3009 | 8.2022 | 0.0061 | 0.5098 |
78 | 3.3009 | 8.2021 | 0.0061 | 0.5098 |
79 | 3.3008 | 8.2021 | 0.0061 | 0.5098 |
