Theory and Modern Applications
n | \(\sup \mathcal{I}_{q}^{\alpha } [m_{2}] (t)\) | \(\sup \mathcal{I}_{q}^{\alpha -1} [m_{2}] (1)\) | \(\sup \mathcal{I}_{q}^{\alpha -2} [m_{2}] (b)\) | \(\sup \mathcal{I}_{q}^{\alpha -\zeta } [m_{2}] (t)\) |
---|---|---|---|---|
\(q = \frac{1}{8} \) | ||||
1 | 0.0343 | 0.0391 | 0.0357 | 0.0349 |
2 | 0.0343 | 0.0391 | 0.0357 | 0.0349 |
3 | 0.0343 | 0.0391 | 0.0357 | 0.0349 |
\(q = \frac{1}{2} \) | ||||
1 | 0.0167 | 0.0299 | 0.0373 | 0.018 |
2 | 0.0179 | 0.0311 | 0.0368 | 0.0193 |
3 | 0.0183 | 0.0314 | 0.0368 | 0.0197 |
4 | 0.0184 | 0.0315 | 0.0367 | 0.0198 |
5 | 0.0184 | 0.0315 | 0.0367 | 0.0198 |
6 | 0.0184 | 0.0315 | 0.0367 | 0.0198 |
\(q = \frac{6}{7} \) | ||||
1 | 0.0029 | 0.0144 | 0.0434 | 0.0036 |
2 | 0.0045 | 0.018 | 0.0407 | 0.0054 |
3 | 0.0058 | 0.0206 | 0.0394 | 0.0069 |
â‹® | â‹® | â‹® | â‹® | â‹® |
13 | 0.0107 | 0.0267 | 0.0375 | 0.0122 |
14 | 0.0108 | 0.0268 | 0.0374 | 0.0122 |
15 | 0.0108 | 0.0268 | 0.0374 | 0.0123 |
16 | 0.0109 | 0.0269 | 0.0374 | 0.0123 |
17 | 0.0109 | 0.0269 | 0.0374 | 0.0124 |
18 | 0.0109 | 0.0269 | 0.0374 | 0.0124 |