Results 281 to 290 of about 957,990 (310)

An Inequality of Jensen

The American Mathematical Monthly, 1946
(1946). An Inequality of Jensen. The American Mathematical Monthly: Vol. 53, No. 9, pp. 501-505.
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Estimating the defect in Jensen's Inequality

Publicationes Mathematicae Debrecen, 2006
Summary: We consider how much the difference of the two sides of Jensen's inequality might be. It has a connection with Grüss' inequality.
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Refining Jensen's inequality

2004
Summary: A refinement of Jensen's inequality is presented. An extra term makes the inequality tighter when the convex function is ``superquadratic'', a strong convexity-type condition is introduced here. This condition is shown to be necessary and sufficient for the refined inequality.
Jameson, Graham J. O., Abramovich, Shoshana, Sinnamon, Gord   +2 more
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On inequalities complementary to Jensen's inequality

Matematički bilten, 2008
In this paper we give generalizations of two complementary inequalities proved by Pečarić and Mesihović. We also show that a generalization of Niculescu's inequality obtained by M. Dincă, S. Rădulescu and M. Bencze is a simple consequence of an older theorem proved by Pečarić and Mesihović.
Matić, Marko, Pečarić, Josip, Klaričić Bakula, Milica   +2 more
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A New Refinement of the Jensen Inequality with Applications in Information Theory

Bulletin of the Malaysian Mathematical Sciences Society, 2020
M. Khan, Ɖilda Pečarić, J. Pečarić
semanticscholar   +1 more source

Remark on Jensen’s Inequality

The American Mathematical Monthly, 2022
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A note on Jensen’s inequality for BSDEs

Acta Mathematica Sinica, English Series, 2009
This paper is devoted to a generalization of known results on Jensen's Inequality for backward stochastic differential equations (BSDEs). Specifically, the author finds a necessary and sufficient condition on the generator \(g\) of BSDEs for which Jensen's Inequality holds for some specific convex functions.
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On Some General Inequalities Related to Jensen’s Inequality

2008
We present several general inequalities related to Jensen's inequality and the Jensen-Steffensen inequality. Some recently proved results are obtained as special cases of these general inequalities.
Klaričić Bakula, Milica, Matić, Marko, Pečarić, Josip   +2 more
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Jensen’s inequality on convex spaces

Calculus of Variations and Partial Differential Equations, 2013
The author proves a Jensen inequality on \(p\)-uniformly convex spaces in terms of \(p\)-barycenters of probability measures with \((p-1)\)-th moment, with \(p\in(1,\infty)\), under a geometric condition. He also gives a Liouville-type theorem for harmonic maps described by Markov chains into a 2-uniformly convex space satisfying such a geometric ...
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Jensen's inequality for Choquet integral revisited and a note on Jensen's inequality for generalized Choquet integral

Fuzzy Sets Syst., 2021
Deli Zhang, R. Mesiar, E. Pap
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