Results 271 to 280 of about 957,990 (310)

Generalized pseudo-integral Jensen's inequality for ((⊕1, ⊗1), (⊕2, ⊗2))-pseudo-convex functions

Fuzzy Sets Syst., 2021
It is remarked that the generalization of Jensen's inequality for pseudo-integrals (Pap and Strboja [14] ) is not a complete generalization of the classical Jensen's inequality, and a generalized Jensen's inequality for pseudo-integral with respect to ( ⊕
Deli Zhang, E. Pap
semanticscholar   +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.
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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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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
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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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Jensen‐Grüss inequality and its applications for the Zipf‐Mandelbrot law

Mathematical methods in the applied sciences, 2020
In this paper, we prove several Jensen‐Grüss type inequalities under various conditions. Some applications in information theory are also given.
S. Butt, M. Klaričić Bakula, Đ. Pečarić, J. Pečarić   +3 more
semanticscholar   +1 more source

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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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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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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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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