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

 

A measure-theoretic version of the Dragomir-Jensen inequality


Author: J. M. Aldaz
Journal: Proc. Amer. Math. Soc. 140 (2012), 2391-2399
MSC (2010): Primary 26D15, 60A10
Published electronically: November 7, 2011
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Abstract: We extend Dragomir's refinement of Jensen's inequality from the discrete to the general case, identifying the equality conditions.


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J. M. Aldaz
Affiliation: Departamento de Matemáticas, Universidad Autónoma de Madrid, Cantoblanco 28049, Madrid, Spain
Email: jesus.munarriz@uam.es

DOI: http://dx.doi.org/10.1090/S0002-9939-2011-11088-8
PII: S 0002-9939(2011)11088-8
Keywords: Self-improvement, Jensen’s inequality
Received by editor(s): December 31, 2010
Received by editor(s) in revised form: February 16, 2011, and February 18, 2011
Published electronically: November 7, 2011
Additional Notes: This work was partially supported by Grant MTM2009-12740-C03-03 of the D.G.I. of Spain
Communicated by: Edward C. Waymire
Article copyright: © Copyright 2011 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.