Ujević, Nenad Perturbations of an Ostrowski type inequality and applications. (English) Zbl 1021.26014 Int. J. Math. Math. Sci. 32, No. 8, 491-500 (2002). Summary: Two perturbations of an Ostrowski type inequality are established. New error bounds for the mid-point, trapezoid, and Simpson quadrature rules are derived. These error bounds can be much better than some recently obtained bounds. Applications in numerical integration are also given. Cited in 2 Documents MSC: 26D15 Inequalities for sums, series and integrals 65D30 Numerical integration 41A55 Approximate quadratures Keywords:mid-point rule; trapezoid rule; Simpson quadrature rule; Ostrowski type inequality; error bounds PDFBibTeX XMLCite \textit{N. Ujević}, Int. J. Math. Math. Sci. 32, No. 8, 491--500 (2002; Zbl 1021.26014) Full Text: DOI EuDML