Results 11 to 20 of about 896,445 (279)

Convergence and Equivalence results for the Jensen's inequality - Application to time-delay and sampled-data systems [PDF]

open access: yesIEEE Transactions on Automatic Control, 2011
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
core   +2 more sources

Performance in a variable world: using Jensen's inequality to scale up from individuals to populations. [PDF]

open access: yesConserv Physiol, 2019
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]

open access: yesAmerican Statistician, 2017
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

Refinements of Jensen’s Inequality via Majorization Results with Applications in the Information Theory

open access: yesJournal of mathematics, 2021
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
semanticscholar   +1 more source

New estimation of Zipf–Mandelbrot and Shannon entropies via refinements of Jensen’s inequality

open access: yes, 2021
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

Generalizations of cyclic refinements of Jensen's inequality by Lidstone's polynomial with applications in information theory

open access: yesJournal of Mathematical Inequalities, 2020
. 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

open access: yesJournal 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
doaj   +1 more source

New upper bounds on the Gaussian Q‐function via Jensen's inequality and integration by parts, and applications in symbol error probability analysis

open access: yesElectronics 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
doaj   +1 more source

Interval valued Jensen’s inequalities for h-convex functions on time scales

open access: yesArab 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
doaj   +1 more source

New Estimates for Csiszár Divergence and Zipf–Mandelbrot Entropy via Jensen–Mercer’s Inequality

open access: yesComplexity, 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
doaj   +1 more source

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