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Best possible global bounds for Jensen functional
Author(s):
Slavko
Simic
Journal:
Proc. Amer. Math. Soc.
138
(2010),
2457-2462.
MSC (2010):
Primary 26B25, 26D20
Posted:
March 10, 2010
MathSciNet review:
2607875
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Additional information
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
DOI:
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
Posted:
March 10, 2010
Communicated by:
Edward C. Waymire
Copyright of article:
Copyright
2010,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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