Some Functional Equations arising from the Concept of Unexpectedness of an Event in Information Theory

Prem Nath

Abstract


The general solutions of some functional equations, without imposing any regularity condition on any one of unknown functions appearing in them, have been obtained.

Keywords


Probability space; Unexpectedness of an event; Pompeiu functional equation; Logarithmic function; Multiplicative function

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DOI: http://dx.doi.org/10.26713%2Fjims.v3i1.41

eISSN 0975-5748; pISSN 0974-875X