## Abstract and Applied Analysis

### On New Generalized Ostrowski Type Integral Inequalities

#### Abstract

The Ostrowski inequality expresses bounds on the deviation of a function from its integral mean. The aim of this paper is to establish some new inequalities similar to the Ostrowski's inequality. The current paper obtains bounds for the deviation of a function from a combination of integral means over the end intervals covering the entire interval in terms of the norms of the second derivative of the function. Some new perturbed results are obtained. Application for cumulative distribution function is also discussed.

#### Article information

Source
Abstr. Appl. Anal., Volume 2014, Special Issue (2014), Article ID 275806, 8 pages.

Dates
First available in Project Euclid: 6 October 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1412606203

Digital Object Identifier
doi:10.1155/2014/275806

Mathematical Reviews number (MathSciNet)
MR3214415

Zentralblatt MATH identifier
1248.76170

#### Citation

Qayyum, A.; Shoaib, M.; Matouk, A. E.; Latif, M. A. On New Generalized Ostrowski Type Integral Inequalities. Abstr. Appl. Anal. 2014, Special Issue (2014), Article ID 275806, 8 pages. doi:10.1155/2014/275806. https://projecteuclid.org/euclid.aaa/1412606203

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