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Table 2 Error \(|R_{W}(\varphi )|\) of the optimal quadrature formula in \(W_{2}^{(2,1)}\) space

From: The discrete analogue of high-order differential operator and its application to finding coefficients of optimal quadrature formulas

N

\(|R_{W}(\varphi _{1})|\)

\(|R_{W}(\varphi _{2})|\)

\(|R_{W}(\varphi _{3})|\)

10

3.60277⋅10−4

1.97605⋅10−3

7.06542⋅10−4

100

3.96087⋅10−6

2.17169⋅10−5

7.75977⋅10−6

1000

3.996868⋅10−8

2.191418⋅10−7

7.830202⋅10−8