Theory and Modern Applications
Table 12 Numerical results of \((1)=L_{1} \varLambda _{1}+ |{}_{1}b_{0}|\) and \((i)= L_{i}\varLambda _{i} + \sum_{j=0}^{i-2} \frac{|{}_{i}b_{j}|}{j!}\) with \(2 \leq i \leq 5\) in Example 2 for \(q=\frac{7}{6}\)
n | \(q =\frac{6}{7}\) | r | ||||
|---|---|---|---|---|---|---|
(1) | (2) | (3) | (4) | (5) | ||
1 | 0.0498 | 1.0549 | 1.9366 | 4.0638 | 1.9551 | 4.0638 |
2 | 0.0627 | 1.0734 | 2.0406 | 4.0993 | 1.9571 | 4.0993 |
3 | 0.0752 | 1.0901 | 2.1394 | 4.1333 | 1.9592 | 4.1333 |
â‹® | â‹® | â‹® | â‹® | â‹® | â‹® | â‹® |
37 | 0.1460 | 1.2065 | 3.0105 | 4.4869 | 1.994 | 4.4869 |
38 | 0.1461 | 1.2066 | 3.0114 | 4.4873 | 1.9941 | 4.4873 |
39 | 0.1461 | 1.2067 | 3.0122 | 4.4877 | 1.1461 | 4.4877 |
40 | 0.1462 | 1.2068 | 3.0128 | 4.488 | 1.9942 | 4.488 |
41 | 0.1462 | 1.2068 | 3.0134 | 4.4882 | 1.9942 | 4.4882 |
â‹® | â‹® | â‹® | â‹® | â‹® | â‹® | â‹® |
50 | 0.1463 | 1.2071 | 3.0159 | 4.4894 | 1.9943 | 4.4894 |
51 | 0.1463 | 1.2071 | 3.016 | 4.4895 | 1.9943 | 4.4895 |
52 | 0.1463 | 1.2071 | 3.0161 | 4.4895 | 1.9943 | 4.4895 |
53 | 0.1463 | 1.2071 | 3.0162 |
| 1.9943 | 4.4896 |
54 | 0.1463 | 1.2072 | 3.0163 | 4.4896 | 1.9943 | 4.4896 |
55 | 0.1463 | 1.2072 | 3.0164 | 4.4896 | 1.9944 | 4.4896 |
56 | 0.1463 | 1.2072 | 3.0164 | 4.4896 | 1.9944 | 4.4896 |
