An Ostrowski type inequality in two dimensions using the three point rule

G. Hanna, P. Cerone, J. Roumeliotis


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.

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ANZIAM Journal, ISSN 1446-8735, copyright Australian Mathematical Society.