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Table 2 The maximum and mean approximation error of the operators on \((m,n)=(3,3)\)

From: A kind of bivariate Bernoulli-type multiquadric quasi-interpolation operator with higher approximation order

 

\(f_{1}\)

\(f_{2}\)

\(f_{3}\)

 

\(\varepsilon _{\mathrm{mean}}\)

\(\varepsilon _{\max}\)

\(\varepsilon _{\mathrm{mean}}\)

\(\varepsilon _{\max}\)

\(\varepsilon _{\mathrm{mean}}\)

\(\varepsilon _{\max}\)

\(\mathcal{L}_{B_{3,3}}f\)

0.000055

0.000361

0.000024

0.000102

0.000100

0.001169

\(S_{B_{3,3}}f\) [41]

0.000099

0.000378

0.000028

0.000219

0.000155

0.001645

\(Q_{B_{3,3}}f\) [42]

0.000821

0.002419

0.001440

0.007019

0.000907

0.010815

Qf [27]

0.001757

0.006318

0.002535

0.007270

0.001990

0.012885

Qf [28]

0.001757

0.006319

0.002537

0.006278

0.001990

0.012884