On Logarithmic Convexity for Differences of Power Means

<p/> <p>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.</p>

Bibliographic Details
Main Author: Simic Slavko
Format: Article
Language:English
Published: SpringerOpen 2007-01-01
Series:Journal of Inequalities and Applications
Online Access:http://www.journalofinequalitiesandapplications.com/content/2007/037359