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Quantile Jensen’s inequalities
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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A weakened version of Davis-Choi-Jensen’s inequality for normalised positive linear maps [PDF]
, 2017 In this paper we show that the celebrated Davis-Choi-Jensen’s inequality for normalised positive linear maps can be extended in a weakened form for convex functions.
Dragomir, Sever S
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Reversing Jensen’s Inequality for Information-Theoretic Analyses
Information, 2022 In this work, we propose both an improvement and extensions of a reverse Jensen inequality due to Wunder et al. (2021). The new proposed inequalities are fairly tight and reasonably easy to use in a wide variety of situations, as demonstrated in several ...
Neri Merhav
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Tightness of Jensen’s Bounds and Applications to MIMO Communications [PDF]
, 2017 Due to the difficulty in manipulating the distribution of Wishart random matrices, the performance analysis of multiple-input-multiple-output (MIMO) channels has mainly focused on deriving capacity bounds via Jensen’s inequality.
Gao, Feifei +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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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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Association of Jensen’s inequality for s-convex function with Csiszár divergence
Journal of Inequalities and Applications, 2019 In the article, we establish an inequality for Csiszár divergence associated with s-convex functions, present several inequalities for Kullback–Leibler, Renyi, Hellinger, Chi-square, Jeffery’s, and variational distance divergences by using particular s ...
M. Adil Khan +4 more
semanticscholar +1 more source
Exponential convexity for Jensen’s inequality for norms [PDF]
, 2016 In this paper, we investigate n-exponential convexity and log-convexity using the positive functional defined as the difference of the left-hand side and right-hand side of the inequality from (Pečarić and Janić in Facta Univ., Ser. Math. Inform. 3:39-42,
Josip Pečarić +2 more
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Integral Inequalities Involving Strongly Convex Functions
Journal of Function Spaces, 2018 We study the notions of strongly convex function as well as F-strongly convex function. We present here some new integral inequalities of Jensen’s type for these classes of functions.
Ying-Qing Song +3 more
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Several new cyclic Jensen type inequalities and their applications
Journal of Inequalities and Applications, 2019 We present some fundamental results and definitions regarding Jensen’s inequality with the aim of obtaining new generalizations of cyclic refinements of Jensen’s inequality from convex to higher order convex functions using Taylor’s formula.
Nasir Mehmood +3 more
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