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Table 8 The approximation error of \(B_{n_{1},n_{2}}^{q_{1,n_{1}},q_{2,n_{2}}} ( h_{1} ) \) to \(h_{1}\) by means of the mixed modulus of continuity

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 × 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
\(\omega _{\text{mixed}} ( h_{1};\delta _{1},\delta _{2} ) \) 0.3493860331 × 10−4 0.3491971504 × 10−3 0.3474832397 × 10−2
\(E_{8} ( S_{n_{1},n_{2}}^{q_{1,n_{1}},q_{2,n_{2}}} ( h_{1} ) ,h_{1} ) \) 0.1397544132 × 10−3 0.1396788602 × 10−2 0.1389932959 × 10−1