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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Best possible global bounds for Jensen functional


Author: Slavko Simic
Journal: Proc. Amer. Math. Soc. 138 (2010), 2457-2462
MSC (2010): Primary 26B25, 26D20
Published electronically: March 10, 2010
MathSciNet review: 2607875
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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.


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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

DOI: http://dx.doi.org/10.1090/S0002-9939-10-10353-0
PII: S 0002-9939(10)10353-0
Keywords: Jensen's discrete inequality, global bounds, Lagrange means, generalized $A-G-H$ inequality.
Received by editor(s): September 27, 2009
Published electronically: March 10, 2010
Communicated by: Edward C. Waymire
Article copyright: © Copyright 2010 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.