Science and Education Publishing Turkish Journal of Analysis and Number Theory 2333-1232 3 2 2015 05 20 On New Weighted Ostrowski Type inequalities Involving Integral Means over End Intervals and Application 61 67 EN A. Qayyum M. Shoaib I. Faye Department of Fundamental and Applied Sciences, Universiti Teknologi Petronas, Malaysia TJANT2015325 10.12691/tjant-3-2-5 2014 10 10 2015 02 08 2015 05 20 The aim of this paper is to establish new inequalities using weight function which generalizes the inequalities of Dragomir, Wang and Cerone. In this article we obtain bounds for the deviation of a function from a combination of weighted 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 is also discussed.