A generalization of Ostrowski's inequality and applications in numerical integration

摘要

A new generalization of Ostrowski's integral inequality is established. A consequence of the generalization is that we can derive new estimates for the remainder term of the midpoint, trapezoid, and Simpson formulae. These estimates are improvements of some recently obtained estimates. Applications in numerical integration are also given. (C) 2004 Elsevier Ltd. All rights reserved. [References: 5]