Dragomir, S. S.; Cerone, P.; Roumeliotis, J. A new generalization of Ostrowski’s integral inequality for mappings whose derivatives are bounded and applications in numerical integration and for special means. (English) Zbl 0946.26013 Appl. Math. Lett. 13, No. 1, 19-25 (2000). Summary: We establish a new inequality of Ostrowski type for functions with bounded derivatives. This has immediate applications in numerical integration where new estimates are obtained for the remainder term of the trapezoid, midpoint, and Simpson formulae. Applications to special means are also investigated. Cited in 3 ReviewsCited in 49 Documents MSC: 26D15 Inequalities for sums, series and integrals 26E60 Means 41A55 Approximate quadratures 65D32 Numerical quadrature and cubature formulas Keywords:Ostrowski inequality; quadrature formulae; special means PDFBibTeX XMLCite \textit{S. S. Dragomir} et al., Appl. Math. Lett. 13, No. 1, 19--25 (2000; Zbl 0946.26013) Full Text: DOI References: [1] Mitrinović, D. S.; Pečarić, J. E.; Fink, A. M., Inequalities for Functions and Their Integrals and Derivatives (1994), Kluwer Academic: Kluwer Academic Dordrecht · Zbl 0744.26011 [2] Dragomir, S. S.; Wang, S., Applications of Ostrowski’s inequality to the estimation of error bounds for some special means and for some numerical quadrature rules, Appl. Math. Lett., 30, 11, 105-109 (1998) · Zbl 1072.26500 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.