Skip to main content

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