A general Ostrowski type inequality for double integrals
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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.
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Hanna, G., Dragomir, S. S., & Cerone, P. (2002). A general Ostrowski type inequality for double integrals. Tamkang Journal of Mathematics, 33(4), 319–334. https://doi.org/10.5556/j.tkjm.33.2002.280
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