Results 241 to 250 of about 4,143 (285)

Converse Jensen–Steffensen inequality

Aequationes mathematicae, 2011
In this paper we prove a converse to the Jensen-Steffensen inequality and two inequalities complementary to the Jensen-Steffensen inequality. We apply so called exp-convex method in order to interpret our results in the form of exponentially convex functions. The outcome is a number of new interesting inequalities as well as some new Cauchy type means.
Klaričić Bakula, Milica, Ivelić Bradanović, Slavica, Pečarić, Josip   +2 more
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Jensen's inequalities for pseudo-integrals

2021
In this paper, we introduce a general$(oplus,otimes)$-convex function based on semirings $([a,b],oplus, otimes)$ with pseudo-addition $oplus$ andpseudo-multiplication $otimes.$ The generalization of the finiteJensen's inequality, as well as pseudo-integral with respect to$(oplus,otimes)$-convex functions, is obtained.
Zhang, D., Pap, E.
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Jensen’s Inequality

2018
Historical origins. Jensen’s inequality is named after the Danish mathematician Johan Ludwig William Valdemar Jensen, born 8 May 1859 in Nakskov, Denmark, died 5 March 1925 in Copenhagen, Denmark.
Hayk Sedrakyan, Nairi Sedrakyan
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Jensen's inequality

Mathematical Notes of the Academy of Sciences of the USSR, 1987
Translation from Mat. Zametki 41, No.6, 798-806 (Russian) (1987; Zbl 0627.26007).
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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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Operator Inequalities Reverse to the Jensen Inequality

Mathematical Notes, 2001
The paper obtains reverse operator inequalities of Jensen's one as follows: Suppose that \(H\) is a Hilbert space, \(A_{i}=A_{i}^{*}\in B(H)\), \(1\leq i\leq n\), and \(aI\leq A_{i}\leq bI\) for \(i\in\{1,\cdots, n\}\). Further, suppose that \(R_{i}\in B(H)\) are arbitrary operators satisfying the condition \(\sum_{i=1}^{n} R_{i}^{*}R_{i}=I\). If \(f\)
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On Inequalities Complementary to Jensen's

Canadian Journal of Mathematics, 1983
In a paper published in 1975 [1, § 3], D. S. Mitrinovič and P. M. Vasič used the so-called “centroid method” to obtain two new inequalities which are complementary to (the discrete version of) Jensen's inequality for convex functions. In this paper we shall present a very general version of such inequalities using the same geometric ideas used in [1 ...
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An inequality for Jensen means

Nonlinear Analysis: Theory, Methods & Applications, 1991
Let \(A=A(t)\) be an \(N\)-function defining the Orlicz space \(L_ A(\Omega)\), \(\Omega\) being a bounded open set in \(R^ n\). It is known that the condition \[ C_ 1t^ p-C_ 2\leq A(t)\leq C_ 3(t^ q+1), \quad t\geq t_ 0\leqno (1) \] with ...
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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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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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