A measure-theoretic version of the Dragomir-Jensen inequality-Reference-Cited by-同舟云学术

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A measure-theoretic version of the Dragomir-Jensen inequality

Published:2011-11-07 Issue:7 Volume:140 Page:2391-2399
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Aldaz J.

Abstract

We extend Dragomir’s refinement of Jensen’s inequality from the discrete to the general case, identifying the equality conditions.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2012-140-07/S0002-9939-2011-11088-8/S0002-9939-2011-11088-8.pdf

Reference2 articles.

1. [Al] Aldaz, J. M. Comparison of differences between arithmetic and geometric means. Tamkang J. of Math., to appear. Available at the mathematics arXiv.

2. Bounds for the normalised Jensen functional;Dragomir, Sever S.;Bull. Austral. Math. Soc.,2006

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4. The sharp upper bound for the ratio between the arithmetic and the geometric mean;Mathematical Inequalities & Applications;2015

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