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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
Posted:
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.
References
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with MSC (2010):
26D15,
60A10
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with MSC (2010):
26D15,
60A10
Additional Information
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
Posted:
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 after
28 years from publication.
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