On the refinement of Jensen’s inequality

M. Adil Khan, G. Ali Khan, T. Ali and A. Kilicman

Applied Mathematics and Computation, 2015, vol. 262, issue C, 128-135

Abstract: The main purpose of this work is to present the extension of the recent results given by Dragomir [S.S. Dragomir, A new refinement of Jensen’s inequality in linear spaces with applications, Math. Comput. Model. 52 (2010) 1497–1505], where new refinement of Jensen’s inequality is presented and given applications in the information theory. Our work improves the basic result of Dragomir through a stronger refinement of Jensen’s inequality which is then applied to the Information Theory and obtained stronger lower bounds for the mean f-deviation and f-divergences.

Keywords: Convex functions; Jensen’s inequality; Mean f-deviations; f-Divergence measures (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:262:y:2015:i:c:p:128-135

DOI: 10.1016/j.amc.2015.04.012

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