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On new refinement of the Jensen inequality using uniformly convex functions with applications

Applicable Analysis, 2023
One of the fundamental inequalities which is used in many inequities is Jensen inequality. In fact, it is a base of some inequality such as the arithmetic mean, harmonic mean inequality also in inequality with respect to entropies and information theory.
Y. Sayyari, H. Barsam, A. Sattarzadeh
semanticscholar   +1 more source

New converses of Jensen inequality via Green functions with applications

Revista De La Real Academia De Ciencias Exactas, Fisicas Y Naturales - Serie A: Matematicas, 2020
Shahid Khan   +2 more
exaly   +2 more sources

Jensen inequality for superlinear expectations

Statistics and Probability Letters, 2019
In this note, we investigate Jensen inequality for superlinear expectations and its application in economics. Superlinear expectations are defined via G -expectations.
Qian Lin
exaly   +2 more sources

Advanced stability criteria for static neural networks with interval time-varying delays via the improved Jensen inequality

Neurocomputing, 2020
This paper investigates the asymptotic stability of static neural network (SNN) with interval time-varying delay. A proper Lyapunov-Krasovskii functional (LKF) is presented to coordinate with the features of the improved Jensen inequality.
Jian-an Wang, Xinyu Wen, B. Hou
semanticscholar   +1 more source

On the converse Jensen inequality for strongly convex functions

Journal of Mathematical Analysis and Applications, 2016
Milica Klaričić Bakula   +1 more
exaly   +2 more sources

On further refinements of the Jensen inequality and applications

Mathematical Methods in the Applied Sciences
We aim to extend some recent refinements of the Jensen inequality. First, we establish even more precise estimates for the Jensen inequality. Then, we derive an improvement of the Jensen inequality with regard to h$$ h $$ ‐convexity.
Mario Krnic   +1 more
exaly   +2 more sources

On Jensen-McShane’s inequality

Periodica Mathematica Hungarica, 2009
A sequence of inequalities wich include McShane's generalization of Jensen's inequality for isotonic positive linear functional and convex functions are proved and compered with results in literature. As applications some results for means are pointed out. Moreover, further inequalities of Holder type are presented.
Vera Culjak   +2 more
openaire   +3 more sources

Converses of the Jensen inequality derived from the Green functions with applications in information theory

Mathematical methods in the applied sciences, 2019
Jensen integral inequality has got much importance regarding their applications in different fields of mathematics. In this paper, two converses of Jensen integral inequality for convex function are obtained.
Shahid Khan, M. Adil Khan, Y. Chu
semanticscholar   +1 more source

Further sharpening of Jensen's inequality

Statistics (Berlin), 2021
In this study, we propose a new bound for Jensen's inequality. Under certain conditions, it is an ultimate bound equal to the Jensen gap. To the best of our knowledge, this is the first such bound to be developed.
Sang Kyu Lee   +2 more
semanticscholar   +1 more source

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