Convex solutions of a functional equation arising in information theory

DOI10.1016/j.jmaa.2006.06.035zbMath1154.39025OpenAlexW2078692265WikidataQ57836376 ScholiaQ57836376MaRDI QIDQ864646

Jean-Baptiste Hiriart-Urruty, Juan-Enrique Martinez-Legaz

Publication date: 12 February 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.06.035

zbMATH Keywords

convex functionsfunctional equationsinformation theoryconvex solutionsCsiszár divergencemeasure of entropy

Mathematics Subject Classification ID

Functional equations for real functions (39B22) Measures of information, entropy (94A17)

Related Items

Perspectives, Means and their Inequalities, Perspective functions: properties, constructions, and examples, How the type of convexity of the core function affects the Csiszár f-divergence functional, Non-commutativef-divergence functional

Cites Work

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• Certainty equivalents and information measures: Duality and extremal principles
• New formulas for the Legendre-Fenchel transform.
• State Constraints in Convex Control Problems of Bolza