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On the converse Jensen inequality
Applied Mathematics and Computation, 2012We give a survey on the converse Jensen inequality and we show that several recently published inequalities are simple consequences of certain long time known results. We also give a new refinement of the converse Jensen inequality as well as improvements of some related results.
Milica Klaričić Bakula, Josip Pecaric
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On the refinement of Jensen’s inequality
Applied Mathematics and Computation, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
M Adil Khan, Adem Kiliçman
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ON JENSEN'S INEQUALITY FOR g-EXPECTATION
Chinese Annals of Mathematics Series B, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Long Jiang, Zengjing Chen
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On Jensen-McShane’s inequality
Periodica Mathematica Hungarica, 2009A sequence of inequalities wich include McShane's generalization of Jensen's inequality for isotonic positive linear functional and convex functions are proved and compered with results in literature. As applications some results for means are pointed out. Moreover, further inequalities of Holder type are presented.
Vera Culjak +2 more
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An inequality for Jensen means
Nonlinear Analysis: Theory, Methods & Applications, 1991Let \(A=A(t)\) 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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On Inequalities Complementary to Jensen's
Canadian Journal of Mathematics, 1983In 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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Jensen's inequalities for pseudo-integrals
2021In 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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