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Zbl 0946.26013
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)
[J] Appl. Math. Lett. 13, No.1, 19-25 (2000). ISSN 0893-9659

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.

MSC 2000:: *26D15 Inequalities for sums, series and integrals of real functions
26E60 Means
41A55 Approximate quadratures
65D32 Quadrature formulas (numerical methods)

Keywords: Ostrowski inequality; quadrature formulae; special means

Cited in: Zbl 1050.26018 Zbl 1033.26023

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