Weighted Ostrowski Type inequality Involving Integral Means
  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. 
Ather Qayyum, Silvestru Sever Dragomir, Muhammad Shoaib, Muhammad Amir   Latif
math.CA