Refinement of Jensen’s inequality and estimation of f- and Rényi divergence via Montgomery identity [PDF]
Journal of Inequalities and Applications, 2018 Jensen’s inequality is important for obtaining inequalities for divergence between probability distribution. By applying a refinement of Jensen’s inequality (Horváth et al. in Math. Inequal. Appl.
Khuram Ali Khan +3 more
doaj +3 more sources
On generalization of refinement of Jensen’s inequality using Fink’s identity and Abel-Gontscharoff Green function [PDF]
Journal of Inequalities and Applications, 2017 In this paper, we formulate new Abel-Gontscharoff type identities involving new Green functions for the ‘two-point right focal’ problem. We use Fink’s identity and a new Abel-Gontscharoff-type Green’s function for a ‘two-point right focal’ to generalize ...
Tasadduq Niaz +2 more
doaj +3 more sources
Performance in a variable world: using Jensen's inequality to scale up from individuals to populations. [PDF]
Conserv 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
Refinements of the integral Jensen’s inequality generated by finite or infinite permutations
Journal of Inequalities and Applications, 2021 There are a lot of papers dealing with applications of the so-called cyclic refinement of the discrete Jensen’s inequality. A significant generalization of the cyclic refinement, based on combinatorial considerations, has recently been discovered by the ...
László Horváth
doaj +2 more sources
Uniform Treatment of Jensen’s Inequality by Montgomery Identity
Journal of Mathematics, 2021 We generalize Jensen’s integral inequality for real Stieltjes measure by using Montgomery identity under the effect of n−convex functions; also, we give different versions of Jensen’s discrete inequality along with its converses for real weights.
Tahir Rasheed +4 more
doaj +2 more sources
A new refinement of Jensen’s inequality with applications in information theory
Open Mathematics, 2020 In this paper, we present a new refinement of Jensen’s inequality with applications in information theory. The refinement of Jensen’s inequality is obtained based on the general functional in the work of Popescu et al.
Xiao Lei, Lu Guoxiang
doaj +2 more sources
Convergence and Equivalence results for the Jensen's inequality - Application to time-delay and sampled-data systems [PDF]
IEEE 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
Fractal and FractionalThis paper derives the sharp bounds for Hermite–Hadamard inequalities in the context of Riemann–Liouville fractional integrals. A generalization of Jensen’s inequality called the Jensen–Mercer inequality is used for general points to find the new and ...
Muhammad Aamir Ali +3 more
doaj +2 more sources
Refinement of the Jensen integral inequality [PDF]
Open Mathematics, 2016 In this paper we give a refinement of Jensen’s integral inequality and its generalization for linear functionals. We also present some applications in Information Theory.
Sever Dragomir Silvestru +2 more
doaj +3 more sources
Jensen’s inequality and tgs-convex functions with applications [PDF]
Journal of Mahani Mathematical Research, 2023 In recent years, many researches have been done on the tgs-convex functions and their applications. In this article, we present some properties of the tgs-convex functions by interesting examples.
Hasan Barsam +2 more
doaj +1 more source