  The ostrowski inequality expresses bounds on the deviation of a function from
its integral mean. The aim of this paper is to establish a new inequality using
weight function which generalizes the inequalities of Dragomir, Wang and Cerone
.The current article obtains bounds for the deviation of a function from a
combination of integral means over the end intervals covering the entire
interval. A variety of earlier results are recaptured as particular instances
of the current development. Applications for cumulative distribution function
are also discussed.
