On the converse Jensen inequality

We give a survey on the converse Jensen inequality and we show that several recently published inequalities are simple consequences of certain long time known results. We also give a new refinement of the converse Jensen inequality as well as improvements of some related results.

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Bibliographic Details
Published in:Applied mathematics and computation 2012-02, Vol.218 (11), p.6566-6575
Main Authors: Klaricic Bakula, M, Pecaric, J, Peric, J
Format: Article
Language:English
Subjects:
Computation
Converse Jensen’s inequality
Converse Jessen’s inequality
Inequalities
Mathematical models
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Description
Summary:We give a survey on the converse Jensen inequality and we show that several recently published inequalities are simple consequences of certain long time known results. We also give a new refinement of the converse Jensen inequality as well as improvements of some related results.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2011.12.037