On quadrature formulas with end corrections (Q915048)

The author develops two generalised Bessel-Gauss summation formulas each of which involve a parameter. Using these formulas a new one-parameter family of quadrature rules is derived and more compared with some other well-known quadrature rules of the same complexity. At the end an example is discussed which shows that change of step length and parameter according to a special strategy gives higher accuracy.