Table 1 The approximation error of \(S_{n,n}^{q_{n},q_{n}} ( h_{0} ) \) to \(h_{0}\) by means of the complete modulus of continuity
n = 1 × 106 | n = 1 × 105 | n = 1 × 104 | |
|---|---|---|---|
\(\delta _{1}=\delta _{2}\) | 0.6902146233 × 10−2 | 0.2182668528 × 10−1 | 0.6902780895 × 10−1 |
\(\omega ( h_{0};\delta _{1},\delta _{2} ) \) | 0.5516953024 × 10−1 | 0.1741370781 | 0.5474576332 |
\(E_{1} ( S_{n,n}^{q_{n},q_{n}} ( h_{0} ) ,h_{0} ) \) | 0.2206781210 | 0.6965483124 | 2.189830533 |