Best possible global bounds for Jensen functional
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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.References
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Additional Information
- Slavko Simic
- Affiliation: Mathematical Institute Sanu, Kneza Mihaila 36, 11000 Belgrade, Serbia
- Email: ssimic@turing.mi.sanu.ac.rs
- Received by editor(s): September 27, 2009
- Published electronically: March 10, 2010
- Communicated by: Edward C. Waymire
- © Copyright 2010
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 138 (2010), 2457-2462
- MSC (2010): Primary 26B25, 26D20
- DOI: https://doi.org/10.1090/S0002-9939-10-10353-0
- MathSciNet review: 2607875