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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A measure-theoretic version of the Dragomir-Jensen inequality
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by J. M. Aldaz
Proc. Amer. Math. Soc. 140 (2012), 2391-2399
DOI: https://doi.org/10.1090/S0002-9939-2011-11088-8
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.
References
  • Aldaz, J. M. Comparison of differences between arithmetic and geometric means. Tamkang J. of Math., to appear. Available at the mathematics arXiv.
  • Sever S. Dragomir, Bounds for the normalised Jensen functional, Bull. Austral. Math. Soc. 74 (2006), no. 3, 471–478. MR 2273755, DOI 10.1017/S000497270004051X
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Bibliographic Information
  • J. M. Aldaz
  • Affiliation: Departamento de Matemáticas, Universidad Autónoma de Madrid, Cantoblanco 28049, Madrid, Spain
  • Email: jesus.munarriz@uam.es
  • 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
  • © Copyright 2011 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 140 (2012), 2391-2399
  • MSC (2010): Primary 26D15, 60A10
  • DOI: https://doi.org/10.1090/S0002-9939-2011-11088-8
  • MathSciNet review: 2898701