Results 221 to 230 of about 755,651 (259)

On the converse Jensen inequality

Applied Mathematics and Computation, 2012
We 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.
Josip Pecaric, J Perić
exaly   +2 more sources

ON JENSEN'S INEQUALITY FOR g-EXPECTATION

Chinese Annals of Mathematics Series B, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Long Jiang, Zengjing Chen
exaly   +2 more sources

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.
Josip Pecaric
exaly   +5 more sources

On Jensen-McShane’s inequality

Periodica Mathematica Hungarica, 2009
A 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, Bozidar Ivankovic, Josip Pecaric   +2 more
openaire   +4 more sources

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 ...
openaire   +2 more sources

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 ...
openaire   +2 more sources

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
openaire   +1 more source

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.
openaire   +2 more sources

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 \(f\)
openaire   +1 more source

On the \(h\)-Jensen's operator inequality

2022
Summary: In this paper, we prove Jensen's operator inequality for an \(h\)-convex function and we point out the results for classes of continuous fields of operators. Also, some generalizations of Jensen's operator inequality and some properties of the \(h\)-convex function are given.
Hashemi Karouei, S. S., Asgari, M. S., Shah Hosseini, M., Ghafoori Adl, N.   +3 more
openaire   +1 more source