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arXiv · 1401.4370

Weighted Ostrowski Type inequality Involving Integral Means

Ather Qayyum·Silvestru Sever Dragomir·Muhammad Shoaib·Muhammad Amir Latif
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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.

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Ather Qayyum, Silvestru Sever Dragomir, Muhammad Shoaib, Muhammad Amir Latif. 2014-01-15. Weighted Ostrowski Type inequality Involving Integral Means. https://arxiv.org/abs/1401.4370

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