Open Access

On Logarithmic Convexity for Differences of Power Means

Journal of Inequalities and Applications20082007:037359

Received: 20 July 2007

Accepted: 17 October 2007

Published: 9 January 2008


We proved a new and precise inequality between the differences of power means. As a consequence, an improvement of Jensen's inequality and a converse of Holder's inequality are obtained. Some applications in probability and information theory are also given.


Authors’ Affiliations

Mathematical Institute, Serbian Academy of Sciences and Arts (SANU), Belgrade, Serbia


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© Slavko Simic 2007

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