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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

From: Some inequalities and numerical results estimating error of approximation for tensor product kind bivariate quantum beta-type operators and pertaining to GBS variant

  n = 1 × 106 n = 1 × 105 n = 1 × 104
\(\delta _{1}=\delta _{2}\) 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