Improvement of Ostrowski Integral Type Inequalities with Application

Abstract

The aim of this paper is to establish new inequalities which are more generalized than 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. Some new perturbed results are presented. Application for cumulative distribution function is also discussed.