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Perturbations of an Ostrowski type inequality and applications. (English) Zbl 1021.26014

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.

MSC:

26D15 Inequalities for sums, series and integrals
65D30 Numerical integration
41A55 Approximate quadratures
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