Journal of the
Korean Mathematical Society JKMS

Multidimensional integrals are expressed in terms of lower dimensional integrals and function evaluations. An iterative process is used where a trapezoidal and three point identities are used as $generators$ for higher dimensional identities. Bounds are obtained utilising the resulting identities. It is demonstrated that earlier Ostrowski type results are obtained as particular instances of the current work.

Keywords: multidimensional integrals, dimensional reduction, recursive method, generalised trapezoidal and three point generators

MSC numbers: Primary 26D15, 26D10, 26D99, 41A55