International Journal of Mathematics and Mathematical Sciences 
Volume 9 (1986), Issue 3, Pages 545-550
doi:10.1155/S0161171286000686

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

Pl. Kannappan and P. K. Sahoo

 Faculty of Mathematics, University of Waterloo, Waterloo N2L 3G1, Ontario, Canada
Received 6 August 1985; Revised 30 April 1986

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.