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Table 1 Error \(|R_{L}(\varphi )|\) of the optimal quadrature formula in \(L_{2}^{(2,0)}\) space

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

N

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

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

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

10

2.52519⋅10−4

3.10892⋅10−4

3.126471⋅10−45

100

2.081351⋅10−7

2.567667⋅10−7

2.009139⋅10−41

1000

2.04889⋅10−10

2.527556⋅10−10

2.576504⋅10−38