TY - JOUR A1 - Diethelm, Kai T1 - Generalized compound quadrature formulae for finite-part integrals T2 - IMA Journal of Numerical Analysis N2 - We investigate the error term of the dth degree compound quadrature formulae for finite-part integrals of the form ∫10x−pf(x) dx where p∈ and p ≥1. We are mainly interested in error bounds of the form |R[f]|≤c∥∥f(s)∥∥∞ with best possible constants c. It is shown that, for p∉ and n uniformly distributed nodes, the error behaves as O(np–s–1 for f∈Cs[0,1]⁠, p–1