Istituto di Scienza e Tecnologie dell'Informazione     
Favati P., Lotti G., Romani F. Local error estimates in quadrature. In: Bit, vol. 31 pp. 102 - 111. BIT, 1991.
A theoretical error estimate for quadrature formulas, which depends on four approximations of the integral, is derived. We obtain a bound, often sharper than the trivial one, which requires milder conditions to be satisfied than a similar result previously presented by Laurie. A selection of numerical tests with one-dimensional integrals is reported, to show how the error estimate works in practice.

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