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.
@article{618,
title = {An Ostrowski type inequality in two dimensions using the three point rule},
journal = {ANZIAM Journal},
volume = {42},
year = {2000},
doi = {10.21914/anziamj.v42i0.618},
language = {EN},
url = {http://dml.mathdoc.fr/item/618}
}
Hanna, G.; Cerone, P.; Roumeliotis, J. An Ostrowski type inequality in two dimensions using the three point rule. ANZIAM Journal, Tome 42 (2000) . doi : 10.21914/anziamj.v42i0.618. http://gdmltest.u-ga.fr/item/618/