The general solutions of a functional equation related to information theory

Prem Nath, Dhiraj Kumar Singh

Abstract


The general solutions of a functional equation, containing two unknown functions, and related to a functional equation characterizing the Shannon entropy and the entropy of degree alpha, are obtained


Keywords


Functional equations, continuous solutions, Lebesgue measurable solutions, the Shannon entropy, the nonadditive entropy of degree ®, multiplicative functions, additive functions.

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References


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Ratio Mathematica - Journal of Mathematics, Statistics, and Applications. ISSN 1592-7415; e-ISSN 2282-8214.