Interpolatory quadrature formulae consist in replacing ~ f(x) dx 1 -1 by ~ pf(x) dx where pf denotes the interpolating polynomial of f with --1 1 respect to a certain knot set X. The remainder R(f)= ~ (f(x)-pf(x))dx 1 -1 may in many cases be written as ~ Px(t)fr where m=n resp. (n+ 1) -1 for n even and odd, respectively. We determine the asymptotic behaviour of the Peano kernel Px(t) for n ~ ~ for the quadrature formulae of Filippi, Polya and Clenshaw-Curtis.
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