Further results on positively homogeneous subadditive functions by using Csiszár f-divergence

DOI10.1007/S00010-024-01078-WMaRDI QIDQ6657290

M. Niezgoda

Publication date: 6 January 2025

Published in: Aequationes Mathematicae (Search for Journal in Brave)

zbMATH Keywords

majorizationconvex (concave) functionpositively homogeneous functionCsiszár \(f\)-divergencecolumn) stochastic matrixdoubly (rowsubadditive (superadditive) function

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Measures of information, entropy (94A17) Convexity of real functions in one variable, generalizations (26A51) Convexity of real functions of several variables, generalizations (26B25) Stochastic matrices (15B51)

Cites Work

• Sur une inégalité relative aux fonctions convexes.
• A refinement of Jensen's inequality with applications for \(f\)-divergence measures
• Certainty equivalents and information measures: Duality and extremal principles
• Generalized Shannon inequalities based on Tsallis relative operator entropy
• Possible generalization of Boltzmann-Gibbs statistics.
• A matrix convexity approach to some celebrated quantum inequalities
• Bounds for the normalised Jensen functional
• On Csiszár and Tsallis type f-divergences induced by superquadratic and convex functions
• A unitary approach to some classical inequalities
• On a Theorem of Hardy, Littlewood, Polya, and Blackwell
• Inequalities: theory of majorization and its applications
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