Cerone, P.; Dragomir, S. S. Lobatto type quadrature rules for functions with bounded derivative. (English) Zbl 0958.26011 Math. Inequal. Appl. 3, No. 2, 197-209 (2000). A simplified proof of a result of R. P. Agarwal and S. S. Dragomir [Comput. Math. Appl. 32, No. 6, 95-99 (1996; Zbl 0874.26017)] is given. It represents a generalization of Iyengar’s inequality. Bounds for a generalized trapezoidal rule and some applications in numerical integration are also considered. Reviewer: G.Toader (Cluj-Napoca) Cited in 1 ReviewCited in 2 Documents MSC: 26D15 Inequalities for sums, series and integrals 41A55 Approximate quadratures 65D32 Numerical quadrature and cubature formulas 65D30 Numerical integration Keywords:Hayashi inequality; Iyengar inequality; Ostrowski inequality; quadrature formulae Citations:Zbl 0874.26017 PDFBibTeX XMLCite \textit{P. Cerone} and \textit{S. S. Dragomir}, Math. Inequal. Appl. 3, No. 2, 197--209 (2000; Zbl 0958.26011) Full Text: DOI