Theory and Modern Applications
Table 3 Numerical results of \(\mathcal{O}_{i}\) and \(\Lambda _{i}\), \(i=1,2,3\), for \(\mathfrak{t}\in [0.02,0.99]\) in Example 6.2 when \(q_{1}=0.28\), \(q_{2}=0.53\), and \(q_{3}=0.89\)
| Â | \(q_{1} = 0.28\) | ||
|---|---|---|---|
\(\mathfrak{t}\) | \(\mathcal{O}_{1}\) | \(\Lambda _{1}\) | \(\frac{B}{\Lambda _{1} + \mathcal{O}_{1} \varrho _{0}^{*} f (B)}> 1\) |
0.02 | 0.0000 | 11.4800 | 8.7108 |
0.07 | 0.1417 | 17.1867 | 5.7870 |
0.12 | 0.2863 | 18.9408 | 5.2275 |
0.17 | 0.4400 | 20.2643 | 4.8651 |
0.22 | 0.6024 | 21.3756 | 4.5928 |
0.27 | 0.7730 | 22.3552 | 4.3734 |
0.32 | 0.9514 | 23.2432 | 4.1892 |
0.37 | 1.1372 | 24.0628 | 4.0301 |
0.42 | 1.3301 | 24.8289 | 3.8900 |
0.47 | 1.5298 | 25.5518 | 3.7649 |
0.52 | 1.7361 | 26.2387 | 3.6517 |
0.57 | 1.9487 | 26.8952 | 3.5485 |
0.62 | 2.1674 | 27.5254 | 3.4535 |
0.67 | 2.3921 | 28.1328 | 3.3657 |
0.72 | 2.6226 | 28.7200 | 3.2840 |
0.77 | 2.8588 | 29.2892 | 3.2076 |
0.82 | 3.1006 | 29.8422 | 3.1359 |
0.87 | 3.3478 | 30.3806 | 3.0684 |
0.92 | 3.6003 | 30.9057 | 3.0046 |
0.97 | 3.8580 | 31.4186 | 2.9442 |