Abstract
A standard method for solution of a syrmnetric integral equation in an interval with a kernel K(x,t) ∊ C(IxI) is to solve the eigenproblem with wjn>0 and xjn∊I, j=l,...,n. For kernels with discontinuous derivatives on the diagonal x=t we use a variant of Gregory's quadrature fonnula to improve the error estimate of (1) from 0 (n-2) at most to 0(n-4).
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