Table 6 The approximation error of \(S_{n_{1},n_{2}}^{q_{1,n_{1}},q_{2,n_{2}}} ( h_{1} ) \) to \(h_{1}\) by means of the complete modulus of continuity
n = 1 × 105 | n = 1 × 104 | n = 1 × 103 | |
|---|---|---|---|
\(\delta _{1}\) | 0.1182874529 × 10−1 | 0.3740651406 × 10−1 | 0.1183130922 |
\(\delta _{2}\) | 0.2182679440 × 10−1 | 0.6903126124 × 10−1 | 0.2185772687 |
\(\omega ( h_{1};\delta _{1},\delta _{2} ) \) | 0.8826171210 × 10−2 | 0.2765639169 × 10−1 | 0.8463458139 × 10−1 |
\(E_{6} ( S_{n_{1},n_{2}}^{q_{1,n_{1}},q_{2,n_{2}}} ( h_{1} ) ,h_{1} ) \) | 0.3530468484 × 10−1 | 0.1106255668 | 0.3385383256 |