eng Science and Education Publishing Turkish Journal of Analysis and Number Theory 2333-1232 2015-05-20 3 2 61 67 10.12691/tjant-3-2-5 TJANT2015325 article On New Weighted Ostrowski Type inequalities Involving Integral Means over End Intervals and Application A. Qayyum 1 M. Shoaib 2 I. Faye ibrahima_faye@petronas.com.my 2 Department of Fundamental and Applied Sciences, Universiti Teknologi Petronas, Malaysia Department of Mathematics, University of Hail, 2440, Saudi Arabia 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. http://pubs.sciepub.com/tjant/3/2/5/tjant-3-2-5.pdf ostrowski inequality weight function weighted integral mean