On a generalized fundamental equation of information
type: Item
instance of: scholarly article
title: On a generalized fundamental equation of information
zbMATH Open document ID: 0829.39004
DOI: 10.1007/BF03323062
author: Wolfgang Sander
published in: Results in Mathematics
publication date: 1996-01-24T00:00:00Z
review text: The solutions of the following generalized functional equation \[ \begin{multlined} G(x)+(1-x)^\alpha F_1 (u/(1-x))+(1-x)^\beta F_2 (u/(1-x))=\\ =G(u)+(1-u)^\alpha F_1 (x/(1-u))+(1-u)^\beta F_2 (x/(1-u)),\end{multlined} \] are given under certain regularity conditions. This functional equation arises in the characterization of certain measures of information.
Mathematics Subject Classification ID: 39B22
Mathematics Subject Classification ID: 94A17
zbMATH DE Number: 785184
zbMATH Keywords: generalized functional equation
zbMATH Keywords: measures of information
reviewed by: Pushpa N. Rathie
MaRDI profile type: Publication
cites work: On regular solutions of functional equations
cites work: The fundamental equation of information and its generalizations
description: scientific article; zbMATH DE number 785184