Table 2 The approximation error of \(S_{n,n}^{q_{n},q_{n}} ( h_{0} ) \) to \(h_{0}\) by means of the partial modulus of continuities

\(\delta _{1}=\delta _{2}\)

0.4763962262 × 10⁻⁴

0.4764041901 × 10⁻³

0.4764838409 × 10⁻²

\(\omega _{1} ( h_{0};\delta _{1} ) =\omega _{2} ( h_{0};\delta _{2} ) \)

0.1905584905 × 10⁻³

0.1905616760 × 10⁻²

0.1905935364 × 10⁻¹

\(E_{2} ( S_{n,n}^{q_{n},q_{n}} ( h_{0} ) ,h_{0} ) \)

0.7622339620 × 10⁻³

0.7622467040 × 10⁻²

0.7623741456 × 10⁻¹