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A. Qayyum, I. Faye, M. Shoaib, M.A. Latif, A Generalization of ostrowski type inequality for mappings whose second derivatives belong to L1(a,b) and applications, International Journal of Pure and Applied Mathematics, 98 (2) 2015, 169-180.

has been cited by the following article:

Article

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

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

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


Turkish Journal of Analysis and Number Theory. 2015, Vol. 3 No. 2, 61-67
DOI: 10.12691/tjant-3-2-5
Copyright © 2015 Science and Education Publishing

Cite this paper:
A. Qayyum, M. Shoaib, 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.

Correspondence to: I.  Faye, Department of Fundamental and Applied Sciences, Universiti Teknologi Petronas, Malaysia. Email: ibrahima_faye@petronas.com.my

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