On the general solution of a functional equation connected to sum form information measures on open domain—III

Abstract

In this series, this paper is devoted to the study of a functional equation connected with the characterization of weighted entropy and weighted entropy of degree β. Here, we find the general solution of the functional equation (2) on an open domain, without using 0-probability and 1-probability.

Keywords

• functional equation
• weighted entropy
• weighted entropy of degree β
• open domain
• sum form.