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An Ostrowski Type Inequality in Two Dimensions Using the Three Point Rule

Hanna, George T, Cerone, Pietro and Roumeliotis, John (1999) An Ostrowski Type Inequality in Two Dimensions Using the Three Point Rule. RGMIA research report collection, 2 (5).

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Abstract

An Ostrowski Type inequality in two dimensions for double integrals on a rectangle is developed. The resulting integral inequalities are valid for the class of functions with bounded first derivatives. They are employed to approximate the double integral by up to 6 one dimensional integrals and nine functions evaluations. Examples using the resulting cubature formulae are presented.

Item Type: Article
Uncontrolled Keywords: cubature, integral inequality, Ostrowski
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: 19 Jul 2012 00:50
Last Modified: 05 Dec 2014 00:54
URI: http://vuir.vu.edu.au/id/eprint/17239
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