Results 11 to 20 of about 957,990 (310)

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
doaj   +2 more sources

New refinement of the Jensen inequality associated to certain functions with applications

open access: yesJournal of Inequalities and Applications, 2020
This article proposes a new refinement of the celebrated Jensen inequality. Some refinements have been obtained for quasi-arithmetic means, Hölder and Hermite–Hadamard inequalities. Several applications are given in information theory.
Muhammad Adil Khan   +2 more
doaj   +2 more sources

On Some Improvements of the Jensen Inequality with Some Applications

open access: yesJournal of Inequalities and Applications, 2009
An improvement of the Jensen inequality for convex and monotone function is given as well as various applications for mean. Similar results for related inequalities of the Jensen type are also obtained.
M. Adil Khan   +3 more
doaj   +3 more sources

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   +2 more sources

Converse Jensen Inequality

open access: yesRocky Mountain Journal of Mathematics, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
P. Fitzsimmons
openaire   +4 more sources

A Reverse Jensen Inequality Result with Application to Mutual Information Estimation [PDF]

open access: yesInformation Theory Workshop, 2021
The Jensen inequality is a widely used tool in a multitude of fields, such as for example information theory and machine learning. It can be also used to derive other standard inequalities such as the inequality of arithmetic and geometric means or the ...
G. Wunder   +3 more
semanticscholar   +1 more source

The Jensen inequality: refinements and applications

open access: yesJournal of Numerical Analysis and Approximation Theory, 1985
Not available.
D. Andrica, I. Raşa
doaj   +4 more sources

Determination of Bounds for the Jensen Gap and Its Applications

open access: yesMathematics, 2021
The Jensen inequality has been reported as one of the most consequential inequalities that has a lot of applications in diverse fields of science. For this reason, the Jensen inequality has become one of the most discussed developmental inequalities in ...
Hidayat Ullah   +2 more
doaj   +1 more source

JENSEN'S OPERATOR INEQUALITY [PDF]

open access: yesBulletin of the London Mathematical Society, 2003
12 ...
Hansen, Frank, Pedersen, Gert K.
openaire   +3 more sources

Generalized fractal Jensen and Jensen–Mercer inequalities for harmonic convex function with applications

open access: yesJournal of Inequalities and Applications, 2022
In this paper, we present a generalized Jensen-type inequality for generalized harmonically convex function on the fractal sets, and a generalized Jensen–Mercer inequality involving local fractional integrals is obtained.
Saad Ihsan Butt   +3 more
doaj   +1 more source

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