International Journal of Applied Mathematics
A quadrature rule using Appell polynomials and generalizing both
the Euler-MacLaurin quadrature formula and a similar quadrature rule, obtained
in Bretti et al [15], which makes use of Euler (instead of Bernoulli)
numbers and even (instead of odd) derivatives of the given function at the
extrema of the considered interval, is derived. An expression of the remainder
term and a numerical example are also enclosed.