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Weighted Three Point Identities and their Bounds

Cerone, Pietro (2001) Weighted Three Point Identities and their Bounds. RGMIA research report collection, 4 (4).

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Abstract

The weighted three point rule is investigated in the current article. The rule consists of evaluations at the ends of the interval and at an interior point x. Weighted Ostrowski and Trapezoidal rules and their related bounds are recaptured as particular instances of the current development. The unweighted results of Ostrowski, Trapezoidal and three point rules are also procured if we take the weight to be unity.

Item Type: Article
Uncontrolled Keywords: three point weighted rules, weighted rules, trapezoid, Ostrowski, explicit bounds
Subjects: FOR Classification > 0102 Applied Mathematics
FOR Classification > 0103 Numerical and Computational Mathematics
Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Depositing User: Research Group in Mathematical Inequalities and Applications
Date Deposited: 30 Aug 2012 03:58
Last Modified: 23 May 2013 16:51
URI: http://vuir.vu.edu.au/id/eprint/17664
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