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A General Ostrowski Type Inequality for Double Integrals

Hanna, George T, Dragomir, Sever S and Cerone, Pietro (2000) A General Ostrowski Type Inequality for Double Integrals. RGMIA research report collection, 3 (2).

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Abstract

Some generalisations of an Ostrowski Type Inequality in two dimensions for n-time differentiable mappings are given. The result is an Integral Inequality with bounded n-time derivatives. This is employed to approximate double integrals using one dimensional integrals and function evaluations at the boundary and interior points.

Item Type: Article
Uncontrolled Keywords: Ostrowski inequality, double integrals, Lebesgue norms
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 03:02
Last Modified: 05 Dec 2014 00:53
URI: http://vuir.vu.edu.au/id/eprint/17301
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