Glasnik Matematicki, Vol. 43, No.1 (2008), 159-178.

A SUM FORM FUNCTIONAL EQUATION RELATED TO VARIOUS ENTROPIES IN INFORMATION THEORY

Prem Nath and Dhiraj Kumar Singh

Abstract.   The general solutions of a sum form functional equation have been investigated. The relevance of these solutions in relation to various entropies in information theory has been emphasized.

2000 Mathematics Subject Classification.   39B52, 39B82.

Key words and phrases.   Sum form functional equation, additive function, multiplicative function, the Shannon entropy, the nonadditive entropies of degree α.

DOI: 10.3336/gm.43.1.11

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