Turkish Journal of Analysis and Number Theory
ISSN (Print): 2333-1100 ISSN (Online): 2333-1232 Website: http://www.sciepub.com/journal/tjant
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Turkish Journal of Analysis and Number Theory. 2015, 3(2), 61-67
DOI: 10.12691/tjant-3-2-5
Open AccessArticle

On New Weighted Ostrowski Type inequalities Involving Integral Means over End Intervals and Application

A. Qayyum1, M. Shoaib2 and I. Faye1,

1Department of Fundamental and Applied Sciences, Universiti Teknologi Petronas, Malaysia

2Department of Mathematics, University of Hail, 2440, Saudi Arabia

Pub. Date: May 20, 2015

Cite this paper:
A. Qayyum, M. Shoaib and I. Faye. On New Weighted Ostrowski Type inequalities Involving Integral Means over End Intervals and Application. Turkish Journal of Analysis and Number Theory. 2015; 3(2):61-67. doi: 10.12691/tjant-3-2-5

Abstract

The aim of this paper is to establish new inequalities using weight function which generalizes the inequalities of Dragomir, Wang and Cerone. In this article we obtain bounds for the deviation of a function from a combination of weighted 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 is also discussed.

Keywords:
ostrowski inequality weight function weighted integral mean

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