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Lobatto type quadrature rules for functions with bounded derivative. (English) Zbl 0958.26011

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.

MSC:

26D15 Inequalities for sums, series and integrals
41A55 Approximate quadratures
65D32 Numerical quadrature and cubature formulas
65D30 Numerical integration

Citations:

Zbl 0874.26017
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