Vector joint majorization and generalization of Csiszár-Körner's inequality for \(f\)-divergence
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Publication:897602
DOI10.1016/j.dam.2015.06.018zbMath1357.15018OpenAlexW2196943542MaRDI QIDQ897602
Publication date: 7 December 2015
Published in: Discrete Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.dam.2015.06.018
\(f\)-divergencecolumn stochastic matrixCsiszár-Körner inequalityjointly convex functionvector joint majorization
Positive linear operators and order-bounded operators (47B65) Measures of information, entropy (94A17) Convexity of real functions of several variables, generalizations (26B25) Basic linear algebra (15A99)
Related Items (16)
On generalized Csiszár (f,g)-divergence with an application for p-majorization ⋮ Generalizations of Crooks and Lin's results on Jeffreys-Csiszár and Jensen-Csiszár \(f\)-divergences ⋮ Sherman's inequality and its converse for strongly convex functions with applications to generalized f-divergences ⋮ On Jensen-Rényi and Jeffreys-Rényi type \(f\)-divergences induced by convex functions ⋮ A generalization of HH \(f\)-divergence ⋮ Generalization of majorization theorem-II ⋮ Generalizations of Sherman's inequality via Fink's identity and Green's function ⋮ Sherman's functional, its properties with applications for f-divergence measure ⋮ On Csiszár and Tsallis type f-divergences induced by superquadratic and convex functions ⋮ Locally strong majorization and commutativity in \(C^*\)-algebras with applications ⋮ Hermite-Hadamard, Fejer and Sherman type inequalities for generalizations of superquadratic and convex functions ⋮ Sherman, Hermite-Hadamard and Fejér like inequalities for convex sequences and nondecreasing convex functions ⋮ Equality cases of inequalities involving generalized Csiszár and Tsallis type f-divergences ⋮ Nonlinear Sherman-type inequalities ⋮ On a Mercer like inequality involving generalized Csiszár f-divergences ⋮ Sherman's operator inequality
Cites Work
- A new refinement of Jensen's inequality in linear spaces with applications
- A refinement of Jensen's inequality with applications for \(f\)-divergence measures
- Matrix majorization
- Shannon like inequalities for \(f\)-connections of positive linear maps and positive operators
- A characterization of mean values for Csiszár's inequality and applications
- Non-commutativef-divergence functional
- Equilibrium points of logarithmic potentials induced by positive charge distributions. I. Generalized de Bruijn-Springer relations
- On generalized inverses in C*-algebras
- Linear maps strongly preserving Moore-Penrose invertibility
- Corach-Porta-Recht inequality for closed range operators
- Jointly subadditive mappings induced by operator convex functions
- On a Theorem of Hardy, Littlewood, Polya, and Blackwell
- Inequalities: theory of majorization and its applications
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