
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.
double integral, 0103 Numerical and Computational Mathematics, Multidimensional problems, 510, Approximate quadratures, Research Group in Mathematical Inequalities and Applications (RGMIA), double integrals, Lebesgue norm, 0102 Applied Mathematics, Inequalities for sums, series and integrals, Lebesgue norms, Ostrowski inequality
double integral, 0103 Numerical and Computational Mathematics, Multidimensional problems, 510, Approximate quadratures, Research Group in Mathematical Inequalities and Applications (RGMIA), double integrals, Lebesgue norm, 0102 Applied Mathematics, Inequalities for sums, series and integrals, Lebesgue norms, Ostrowski inequality
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