Table 1 Values \(x_{a}\) and \(m_{a}\) for some specified \(a \in ( \frac{3}{2} ,2 ) \) related to Theorems 6 and 10, respectively
From: About some exponential inequalities related to the sinc function
a | 1.501 | 1.502 | 1.503 | 1.504 | 1.505 | 1.506 | 1.507 | 1.508 | 1.509 | 1.510 |
\(x_{a}\) | 0.282… | 0.398… | 0.487… | 0.561… | 0.626… | 0.685… | 0.738… | 0.788… | 0.834… | 0.878… |
\(m_{a}\) | 0.140… | 0.198… | 0.243… | 0.280… | 0.314… | 0.344… | 0.371… | 0.397… | 0.421… | 0.444… |
a | 1.52 | 1.53 | 1.54 | 1.55 | 1.56 | 1.57 | 1.58 | 1.59 | 1.60 | 1.65 |
\(x_{a}\) | 1.220… | 1.468… | 1.666… | 1.831… | 1.973… | 2.096… | 2.205… | 2.302… | 2.302… | 2.302… |
\(m_{a}\) | 0.628… | 0.769… | 0.888… | 0.993… | 1.088… | 1.175… | 1.256… | 1.256… | 1.256… | 1.256… |
a | 1.70 | 1.75 | 1.80 | 1.85 | 1.90 | 1.92 | 1.94 | 1.96 | 1.98 | 1.9999 |
\(x_{a}\) | 2.911… | 3.034… | 3.103… | 3.133… | 3.141… | 3.141… | 3.141… | 3.141… | 3.141… | 3.141… |
\(m_{a}\) | 1.986… | 2.221… | 2.433… | 2.628… | 2.809… | 2.879… | 2.947… | 3.013… | 3.087… | 3.141… |