Jensen's inequality

Known as: Jensen, Jensen Inequality, Jensen’s inequality 
In mathematics, Jensen's inequality, named after the Danish mathematician Johan Jensen, relates the value of a convex function of an integral to the… (More)
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2018
2018
This paper proposes a new sharpened version of the Jensen's inequality. The proposed new bound is simple and insightful, is… (More)
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2017
2017
In this article we present refinements of Jensen’s inequality and its reversal for convex functions, by adding as many refining… (More)
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Highly Cited
2013
Highly Cited
2013
In the last decade, the Jensen inequality has been intensively used in the context of time-delay or sampled-data systems since it… (More)
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2008
2008
The theory and applications of dynamic derivatives on time scales have recently received considerable attention. The primary… (More)
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Highly Cited
2007
Highly Cited
2007
In this paper, we show a Jensen type inequality for the Sugeno integral. We also discuss some conditions assuring the… (More)
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2005
2005
We prove an analogue of Jensen’s inequality, with medians instead of means. A novel definition of a median is given, which allows… (More)
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Highly Cited
2003
Highly Cited
2003
Abstract. We establish what we consider to be the definitive versions of Jensen’s operator inequality and Jensen’s trace… (More)
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2000
2000
Alex Pentland MIT Media Lab Cambridge, MA 02139 sandy@media.mit.edu Jensen's inequality is a powerful mathematical tool and one… (More)
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1997
1997
We extend ideas of Garling to consider the so called Hardy martingales in a more general setting of H^p theory of compact abelian… (More)
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Highly Cited
1993
Highly Cited
1993
We examine the dependence on the Ap norm of w of the operator norms of singular integrals, maximal functions, and other operators… (More)
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