Recently, Trefethen (SIAM Review 50 (2008), 67--87) and Xiang and Bornemann
(SIAM J. Numer. Anal. 50 (2012), 2581--2587) investigated error bounds for
n-point Gauss and Clenshaw-Curtis quadrature for the Legendre weight with
integrands having limited smoothness properties. Putting their results into the
context of classical quadrature theory, we find that the observed behaviour is
by no means surprising and that it can essentially be proved for a very large
class of quadrature formulas with respect to a broad set of weight functions.Comment: 3 page
