Authors: | Simić, Slavko | Affiliations: | Mathematical Institute of the Serbian Academy of Sciences and Arts | Title: | Best possible global bounds for jensen functional | Journal: | Proceedings of the American Mathematical Society | Volume: | 138 | Issue: | 7 | First page: | 2457 | Last page: | 2462 | Issue Date: | 1-Jul-2010 | Rank: | M22 | ISSN: | 0002-9939 | DOI: | 10.1090/S0002-9939-10-10353-0 | Abstract: | We determine the form of the best possible global bounds for the Jensen functional on the real line. Thereby, previous results on this topic are essentially improved. Some applications in Analysis and Information Theory are also given. |
Keywords: | Generalized A - G - H inequality | Global bounds | Jensen's discrete inequality | Lagrange means | Publisher: | American Mathematical Society |
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