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>
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Format: | Article |
Language: | English |
Published: |
SpringerOpen
2007-01-01
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Series: | Journal of Inequalities and Applications |
Online Access: | http://www.journalofinequalitiesandapplications.com/content/2007/037359 |