A Family of Modified Even Order Bernoulli-Type Multiquadric Quasi-Interpolants with Any Degree Polynomial Reproduction Property

Table 3

Numerical results of the operators 𝑆_𝐵𝑚 and ℒ_𝑣𝑚 for the sphere function.

𝑆𝐵𝑚𝑓2			ℒ𝑣𝑚𝑓2
(𝜇,𝑚)	𝜀mean	𝜀max	(𝑙,𝑚)	𝜀mean	𝜀max
(2,1)	2.012×10^−3	6.732×10^−3	(2,1)	2.356×10^−4	4.664×10^−4
(2,2)	1.521×10^−4	9.474×10^−4	(2,2)	1.001×10^−6	2.045×10^−6
(2,3)	1.900×10^−4	8.204×10^−4	(2,3)	9.097×10^−8	9.763×10^−7
(3,1)	4.834×10^−4	1.255×10^−3	(3,1)	2.304×10^−4	4.024×10^−4
(3,2)	2.801×10^−5	1.189×10^−4	(3,2)	9.972×10^−8	3.665×10^−7
(3,3)	2.711×10^−5	1.080×10^−4	(3,3)	8.851×10^−9	3.541×10^−9
(4,1)	3.991×10^−4	1.332×10^−3	(4,1)	2.636×10^−4	3.964×10^−4
(4,2)	1.989×10^−5	1.278×10^−4	(4,2)	8.614×10^−8	3.524×10^−7
(4,3)	1.249×10^−5	5.604×10^−5	(4,3)	9.811×10^−9	2.004×10^−8