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).


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
URI https://vuir.vu.edu.au/id/eprint/17301
Subjects Historical > FOR Classification > 0102 Applied Mathematics
Historical > FOR Classification > 0103 Numerical and Computational Mathematics
Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Keywords Ostrowski inequality, double integrals, Lebesgue norms
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