Authors: | Simić, Slavko | Affiliations: | Mathematical Institute of the Serbian Academy of Sciences and Arts | Title: | Sharp global bounds for Jensen's inequality | Journal: | Rocky Mountain Journal of Mathematics | Volume: | 41 | Issue: | 6 | First page: | 2021 | Last page: | 2031 | Issue Date: | 1-Dec-2011 | Rank: | M23 | ISSN: | 0035-7596 | DOI: | 10.1216/RMJ-2011-41-6-2021 | Abstract: | In this article we find the form of a sharp global upper bound for Jensen's inequality. Thereby, previous results on this topic are essentially improved. We also give some applications in Analysis and Information Theory. |
Keywords: | Generalized A - G - H inequality | Global bounds | Jensen's discrete inequality | Lagrange means | Publisher: | Rocky Mountain Mathematics Consortium |
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