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Table 5 The approximation error of \(B_{n,n}^{q_{n},q_{n}} ( h_{0} ) \) to \(h_{0}\) 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 × 106 n = 1 × 105 n = 1 × 104
\(\delta _{1}=\delta _{2}\) 0.6902146233 × 10−2 0.2182668528 × 10−1 0.6902780895 × 10−1
\(\omega _{\text{mixed}} ( h_{0};\delta _{1},\delta _{2} ) \) 0.4763962262 × 10−4 0.4764041903 × 10−3 0.4764838408 × 10−2
\(E_{5} ( B_{n,n}^{q_{n},q_{n}} ( h_{0} ) ,h_{0} ) \) 0.1905584905 × 10−3 0.1905616761 × 10−2 0.1905935363 × 10−1