Generating functions for newton-cotes formulae weights and error terms
Bradley W. Brock · Applicable Analysis · 1992
From the observation that weights in the Newton-Cotes formulae look like integrals of binomial coefficient polynomials, we are able to evaluate their generating function. We also obtain a generating function for the error terms in the Newton-Cotes formulae by generalizing the Euler-Maclaurin sum formula.