Original scientific paper

Entropy functions and functional equations

Eszter Gselmann ; Institute of Mathematics, University of Debrecen,Debrecen, Hungary

Abstract

The purpose of this note is to give a general solution of
two functional equations connected to the Shannon entropy and also
to the Tsallis entropy. As a result of this, we present a regular solution of these equations as well. Furthermore, we point out that
the regularity assumptions used in previous works can be weakened substantially.

Keywords

functional equation; entropy; Shannon entropy; Tsallis entropy

Hrčak ID:

74878

URI

https://hrcak.srce.hr/74878

Publication date:

21.12.2011.

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