Weighted Ostrowski Type inequality Involving Integral Means
Classical Analysis and ODEs
2014-01-20 v1
Abstract
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.
Cite
@article{arxiv.1401.4370,
title = {Weighted Ostrowski Type inequality Involving Integral Means},
author = {Ather Qayyum and Silvestru Sever Dragomir and Muhammad Shoaib and Muhammad Amir Latif},
journal= {arXiv preprint arXiv:1401.4370},
year = {2014}
}
Comments
11 pages