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Journal of Mathematical Analysis and Applications
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Journal of Mathematical Analysis and Applications
Article . 1997
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http://dx.doi.org/10.1006/jmaa...
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Journal of Mathematical Analysis and Applications
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Sharpening Jensen's Inequality and a Majorization Theorem

Sharpening Jensen's inequality and a majorization theorem
descriptionPublicationkeyboard_double_arrow_right Article 01 Oct 1997 English Publisher:Elsevier BVJournal:Journal of Mathematical Analysis and Applications, volume 214, pages 721-728 (issn: 0022-247X, Copyright policy )
Authors: Abramovich, S.; Mond, B.; Pečarić, J.E.;

doi: 10.1006/jmaa.1997.5527

Sharpening Jensen's Inequality and a Majorization Theorem

Abstract

The authors sharpen the multivariate Jensen inequality for convex functions and a majorization inequality. Applications to the inequalities of Hölder and Minkowski are given.

Related Organizations
Keywords

convex functions, Applied Mathematics, majorization inequality, Inequalities for sums, series and integrals, multivariate Jensen inequality, Analysis, Convexity of real functions of several variables, generalizations

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
6
Average
Top 10%
Average
hybrid