On some functional equations from additive and non-additive measures-I

DOI10.1017/S0013091500003023zbMath0468.39002OpenAlexW4252378983MaRDI QIDQ3921609

Palaniappan Kannappan

Publication date: 1980

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0013091500003023

zbMATH Keywords

measures of informationmeasure entropyadditive and non-additive measuresgeneral Lebesgue measurable solutionShannon-Renyi entropies

Mathematics Subject Classification ID

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

Related Items (13)

Weighted-additive deviations with the sum property ⋮ Measurable solutions of functional equations of sum form ⋮ On some sum form functional equations related to information theory ⋮ Characterizations of sum form information measures on open domains ⋮ Unnamed Item ⋮ A structure theorem for sum form functional equations ⋮ On a multiplicative type sum form functional equation and its role in information theory. ⋮ On the measurable solutions of some functional equations useful in information theory ⋮ On the measurable solutions of a functional equation related to some measures of entropy in information theory ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On a generalization of sum form functional equation. V ⋮ On a functional equation arising in information theory

Cites Work

• Unnamed Item
• Representation for measures of information with the branching property
• Charakterisierung der Entropien positiver Ordnung und der shannonschen Entropie
• On the measurable solutions of a functional equation
• On Shannon's entropy, directed divergence and inaccuracy
• On directed divergence and inaccuracy

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