Results 11 to 20 of about 3,706 (120)
Quantile Jensen’s inequalities [PDF]
Journal of Inequalities and Applications, 2021 Quantiles of random variable are crucial quantities that give more delicate information about distribution than mean and median and so on. We establish Jensen’s inequality for q-quantile ( q ≥ 0.5 $q\geq 0.5$ ) of a random variable, which includes as a ...
Mu Zhao +4 more
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Jensen's Operator Inequality [PDF]
Bulletin of the London Mathematical Society, 2002 We establish what we consider to be the definitive versions of Jensen's operator inequality and Jensen's trace inequality for functions defined on an interval.
Hansen, Frank, Pedersen, Gert K.
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The Jensen-Grüss inequality [PDF]
Mathematical Inequalities & Applications, 2002 The Jensen-Gruss inequality is proved, that is conversion of Jensen's inequality related to the well known Gruss inequality.
Pečarić, Josip, Budimir, Ivan
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Interval valued Jensen’s inequalities for h-convex functions on time scales
Arab Journal of Basic and Applied Sciences, 2023 In the paper, we study dynamic h-convexity for interval valued functions. Some generalizations of Jensen’s inequality in interval valued analysis for h-convex functions on time scales are proved in the paper. In seek of applications of generalized Jensen’
Ammara Nosheen +3 more
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Hardy Martingales and Jensen's inequality [PDF]
Bulletin of the Australian Mathematical Society, 1997 Hardy martingales were introduced by Garling and used to study analytic functions on the N-dimensional torus 𝕋N, where analyticity is defined using a lexicographic order on the dual group ℤN. We show how, by using basic properties of orders on ℤN, we can apply Garling's method in the study of analytic functions on an arbitrary compact Abelian group ...
Asmar, Nakhlé H. +1 more
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Some complementary inequalities to Jensen’s operator inequality [PDF]
Journal of Inequalities and Applications, 2018 In this paper, we study some complementary inequalities to Jensen's inequality for self-adjoint operators, unital positive linear mappings, and real valued twice differentiable functions. New improved complementary inequalities are presented by using an improvement of the Mond-Pečarić method.
Jadranka Mićić +2 more
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Sharpening Jensen's Inequality [PDF]
The American Statistician, 2018 This paper proposes a new sharpened version of the Jensen's inequality. The proposed new bound is simple and insightful, is broadly applicable by imposing minimum assumptions, and provides fairly accurate result in spite of its simple form. Applications to the moment generating function, power mean inequalities, and Rao-Blackwell estimation are ...
Liao, J. G., Berg, Arthur
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Jensen's Inequality for Generalized Peng's -Expectations and Its Applications
Abstract and Applied Analysis, 2013 We study Jensen's inequality for generalized Peng's -expectations and give four equivalent conditions on Jensen's inequality for generalized Peng's -expectations without the assumption that the generator is continuous with respect to .
Zhaojun Zong
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Refinement of Jensen’s inequality and estimation of f- and Rényi divergence via Montgomery identity
Journal of Inequalities and Applications, 2018 Jensen’s inequality is important for obtaining inequalities for divergence between probability distribution. By applying a refinement of Jensen’s inequality (Horváth et al. in Math. Inequal. Appl.
Khuram Ali Khan +3 more
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Refinements of the Converse Hölder and Minkowski Inequalities
Mathematics, 2022 We give a refinement of the converse Hölder inequality for functionals using an interpolation result for Jensen’s inequality. Additionally, we obtain similar improvements of the converse of the Beckenbach inequality.
Josip Pečarić +2 more
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