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Convergence and Equivalence results for the Jensen's inequality - Application to time-delay and sampled-data systems [PDF]
The Jensen's inequality plays a crucial role in the analysis of time-delay and sampled-data systems. Its conservatism is studied through the use of the Gr\"{u}ss Inequality.
Briat, Corentin
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Performance in a variable world: using Jensen's inequality to scale up from individuals to populations. [PDF]
Body temperature affects plants’ and animals’ performance, but temperature varies through time within an individual and through space among individuals.
Denny M.
europepmc +2 more sources
Sharpening Jensen's Inequality [PDF]
This article proposes a new sharpened version of Jensen's inequality. The proposed new bound is simple and insightful, is broadly applicable by imposing minimum assumptions, and provides fairly accurate results in spite of its simple form.
Jason Liao, Arthur Berg
semanticscholar +1 more source
In this study, we present some new refinements of the Jensen inequality with the help of majorization results. We use the concept of convexity along with the theory of majorization and obtain refinements of the Jensen inequality.
Yongping Deng +4 more
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New estimation of Zipf–Mandelbrot and Shannon entropies via refinements of Jensen’s inequality
Zipf–Mandelbrot and Shannon entropies are some basic and useful tools to quantify information about certain phenomena in various fields of science and technology, for example statistics, ecology, biology, and information theory.
Khurshid Ahmad +4 more
semanticscholar +1 more source
. Jensen’s inequality plays pivotal role in attaining divergence between probability distributions. Shannon, Relative and Zipf-Mandelbrot entropies have ample applications in many applied sciences, especially in information theory, biology, economics ...
N. Mehmood +3 more
semanticscholar +1 more source
Bounds for the Jensen Gap in terms of Power Means with Applications
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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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
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
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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