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
          
          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.