Results 1 to 10 of about 1,342 (160)

Estimation of divergence measures via weighted Jensen inequality on time scales

Journal of Inequalities and Applications, 2021
The main purpose of the presented paper is to obtain some time scale inequalities for different divergences and distances by using weighted time scales Jensen’s inequality.
Iqrar Ansari, Khuram Ali Khan, Ammara Nosheen, Ðilda Pečarić, Josip Pečarić   +4 more
doaj   +1 more source

Entropy Distance: New Quantum Phenomena [PDF]

, 2012
We study a curve of Gibbsian families of complex 3x3-matrices and point out new features, absent in commutative finite-dimensional algebras: a discontinuous maximum-entropy inference, a discontinuous entropy distance and non-exposed faces of the mean ...
Amari S., Andreas Knauf, Ay N., Barndorff-Nielsen O., Caticha A., Ellis R., Kojima M., Matúš F., Petz D., Stephan Weis, Weis S., Weis S.   +11 more
core   +4 more sources

A new quantum f-divergence for trace class operators in hilbert spaces [PDF]

, 2014
A new quantum f-divergence for trace class operators in Hilbert Spaces is introduced. It is shown that for normalised convex functions it is nonnegative. Some upper bounds are provided.
Dragomir, Sever S
core   +2 more sources

Computing the Unique Information

, 2018
Given a pair of predictor variables and a response variable, how much information do the predictors have about the response, and how is this information distributed between unique, redundant, and synergistic components?
Banerjee, Pradeep Kr., Montúfar, Guido, Rauh, Johannes   +2 more
core   +1 more source

Continuity of the Maximum-Entropy Inference

, 2014
We study the inverse problem of inferring the state of a finite-level quantum system from expected values of a fixed set of observables, by maximizing a continuous ranking function.
A. Caticha, A. Uhlmann, A. Wehrl, B. Groisman, B. Li, C. Berge, D. Greenberger, D. Henrion, D. Leung, D. Petz, E. Schrödinger, E.B. Davies, E.H. Wichmann, E.M. Alfsen, E.T. Jaynes, F. Topsøe, H. Hasegawa, H. Umegaki, I. Bjelaković, I. Csiszár, I. Csiszár, I. Csiszár, I. Csiszár, I. Voigt, J. Chen, J. Uffink, K. Modi, L. Boltzmann, M.A. Nielsen, M.B. Ruskai, M.E. Shirokov, N. Ay, O. Barndorff-Nielsen, O. Bratteli, R.M. Dudley, R.S. Ingarden, R.T. Rockafellar, S. Papadopoulou, S. Weis, S. Weis, S.A. Ali, S.H. Ayupov, S.N. Karbelkar, T. Netzer, V. Bužek, V.Y. Protasov, Weis Stephan, Å. Lima   +47 more
core   +1 more source

Refinement of the Jensen integral inequality [PDF]

, 2016
In this paper we give a refinement of Jensen’s integral inequality and its generalization for linear functionals.
Abathun, A, Dragomir, Sever S, Khan, MA
core   +2 more sources

A new bound for the Jensen gap pertaining twice differentiable functions with applications

Advances in Difference Equations, 2020
In this paper, we present a new bound for the Jensen gap with the help of a Green function. Using the bound, we deduce a converse of the Hölder inequality as well. Finally, we present some applications of the main result in information theory.
Shahid Khan, Muhammad Adil Khan, Saad Ihsan Butt, Yu-Ming Chu   +3 more
doaj   +1 more source

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

Journal 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, Ðilda Pečarić, Josip Pečarić   +2 more
doaj   +1 more source

Long‐Range Transport Pathways of Intense Wildfire Plumes in the Northern Hemisphere Observed by the IASI/METOP Satellite Mission

Journal of Geophysical Research: Atmospheres, Volume 131, Issue 8, 28 April 2026.
Abstract Wildfires emit significant greenhouse gases and pollutants. Extreme fires disperse smoke plumes over long distances, necessitating a deeper understanding of their source regions and variability. This study introduces a plume back‐trajectory algorithm using carbon monoxide (CO) and peroxyacetyl nitrate satellite observations from the Infrared ...
Antoine Ehret, Solène Turquety, Anderson Da Silva, Maya George, Juliette Hadji‐Lazaro, Bruno Franco, Lieven Clarisse, Pierre‐François Coheur, Cathy Clerbaux   +8 more
wiley   +1 more source

Identity Extension for Function on Three Intervals and Application to Csiszar Divergence, Levinson and Ky Fan Inequalities

AppliedMath
Using Taylor-type expansions, we obtain identity expressions for functions on three intervals and differences for two pairs of Csiszár ϕ-divergence. With some more assumptions in these identities, inequalities for functions on three intervals and Csiszár
Josip Pečarić, Jinyan Miao, Ðilda Pečarić   +2 more
doaj   +1 more source