Journal of Inequalities and Applications

Table 1 The maximum and mean approximation error of the operators on \((m,n)=(2,2)\)

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

	\(f_{1}\)		\(f_{2}\)		\(f_{3}\)
	\(\varepsilon _{\mathrm{mean}}\)	\(\varepsilon _{\max}\)	\(\varepsilon _{\mathrm{mean}}\)	\(\varepsilon _{\max}\)	\(\varepsilon _{\mathrm{mean}}\)	\(\varepsilon _{\max}\)
\(\mathcal{L}_{B_{2,2}}f\)	0.000436	0.001481	0.000109	0.000648	0.000624	0.004172
\(S_{B_{2,2}}f\) [41]	0.000499	0.002384	0.000150	0.000737	0.000694	0.005629
\(Q_{B_{2,2}}f\) [42]	0.001299	0.004533	0.001702	0.005598	0.001650	0.007147
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

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