Error Bounds for Gauss-kronrod Quadrature Formulae
نویسنده
چکیده
The Gauss-Kronrod quadrature formula Qi//+X is used for a practical estimate of the error R^j of an approximate integration using the Gaussian quadrature formula Q% . Studying an often-used theoretical quality measure, for ߣ* , we prove best presently known bounds for the error constants cs(RTMx)= sup \RlK+x[f]\ ll/(l»lloo<l in the case s = "Sn + 2 + tc , k = L^J LfJ • A comparison with the Gaussian quadrature formula ö£,+i shows that there exist quadrature formulae using the same number of nodes but having considerably better error constants.
منابع مشابه
Error estimates for Gauss–Turán quadratures and their Kronrod extensions
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