Results 11 to 20 of about 39,063 (233)
Bounds for the Jensen Gap in terms of Power Means with Applications
Journal of Function Spaces, 2021 Jensen’s and its related inequalities have attracted the attention of several mathematicians due to the fact that Jensen’s inequality has numerous applications in almost all disciplines of mathematics and in other fields of science.
Xuexiao You +2 more
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Electronics Letters, 2023 Using Jensen's inequality and integration by parts, some tight upper bounds are derived on the Gaussian Q‐function. The tightness of the bounds obtained by Jensen's inequality can be improved by increasing the number of exponential terms, and one of them
Hang‐Dan Zheng +3 more
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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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New Estimates for Csiszár Divergence and Zipf–Mandelbrot Entropy via Jensen–Mercer’s Inequality
Complexity, 2020 Jensen’s inequality is one of the fundamental inequalities which has several applications in almost every field of science. In 2003, Mercer gave a variant of Jensen’s inequality which is known as Jensen–Mercer’s inequality. The purpose of this article is
Muhammad Adil Khan +2 more
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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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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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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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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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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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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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