| Authors: | Simić, Slavko | Affiliations: | Mathematical Institute of the Serbian Academy of Sciences and Arts | Title: | On logarithmic convexity for differences of power means | Journal: | Journal of Inequalities and Applications | Volume: | 2007 | Issue Date: | 1-Dec-2007 | Rank: | M23 | ISSN: | 1025-5834 | DOI: | 10.1155/2007/37359 | Abstract: | We proved a new and precise inequality between the differences ofpower means. As a consequence, an improvement of Jensen's inequality and aconverse of Holder's inequality are obtained. Some applications in probability andinformation theory are also given. |
Publisher: | Springer Link |
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