On the measurable solution of a functional equation arising in information theory

DOI10.1007/BF01902599zbMath0424.39002OpenAlexW1976142926MaRDI QIDQ3858701

Zoltán Daróczy, Antal jun. Járai

Publication date: 1979

Published in: Acta Mathematica Academiae Scientiarum Hungaricae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01902599

zbMATH Keywords

entropyinformation theoryShannon entropy345.94022measurable solutions of functional equations

Mathematics Subject Classification ID

Measures of information, entropy (94A17) Functional equations and inequalities (39B99)

Related Items (22)

Entropy bounds for dendrimers ⋮ Measurable solutions of functional equations of sum form ⋮ New inequalities for network distance measures by using graph spectra ⋮ Novel inequalities for generalized graph entropies -- graph energies and topological indices ⋮ A family of generalized quantum entropies: definition and properties ⋮ Characterizations of sum form information measures on open domains ⋮ Regularization and general methods in the theory of functional equations ⋮ A characterization of entropies of degree alpha ⋮ A structure theorem for sum form functional equations ⋮ On a functional equation of sum form with three unknown functions ⋮ On a multiplicative type sum form functional equation and its role in information theory. ⋮ On reduction of linear two variable functional equations to differential equations without substitutions ⋮ On the measurable solutions of a functional equation related to some measures of entropy in information theory ⋮ On a class of functional equations in distribution ⋮ First degree-based entropy of graphs ⋮ On the bounded solutions of a functional equation ⋮ Generalized degree-based graph entropies ⋮ Some Functional Equations Related to the Characterizations of Information Measures and Their Stability ⋮ On some functional equations of the information theory ⋮ Solution of (2,2)-type sum form functional equations with several unknown functions ⋮ Measurable solutions of a (2,2)-type sum form functional equation ⋮ On regular solutions of functional equations

Cites Work

• Charakterisierung der Entropien positiver Ordnung und der shannonschen Entropie
• Generalized information functions
• On the measurable solutions of a functional equation
• On a Functional Equation
• Unnamed Item
• Unnamed Item

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