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Table 2 Numerical results for three-point formula ( 30 )

From: On orthogonal polynomials and quadrature rules related to the second kind of beta distribution

f ( x )

Approximate value (3-point)

Exact value

Error

cos x 2

0.0743108795

0.09326578594

0.01895490641

exp(− x 2 /2)

0.09773977703

0.09545329274

0.00228738430

exp(−cosx)

0.06241097330

0.06149960816

0.00091136514

1 + x 2

0.15068324430

0.15238095240

0.00169770810