Sum form equations of multiplicative type
type: Item
instance of: scholarly article
title: Sum form equations of multiplicative type
zbMATH Open document ID: 0823.39005
DOI: 10.1007/BF01874681
published in: Acta Mathematica Hungarica
publication date: 1995-11-05T00:00:00Z
review text: All solutions \(f\) are obtained of the sum form equation of multiplicative type \(f(pq) + f((1 - p)q) = f(q) \{m(p) + m(1 - p)\} + M(q) \{f(p) + f(1 - p)\}\), where \(p,q \in ]0,1[\) and \(m,M:\) \(]0,1[ \to \mathbb{R}\) are multiplicative functions. This type of functional equation is encountered in the characterization of measures of information.
Mathematics Subject Classification ID: 39B22
Mathematics Subject Classification ID: 94A17
zbMATH DE Number: 508715
zbMATH Keywords: sum form equation of multiplicative type
zbMATH Keywords: functional equation
zbMATH Keywords: measures of information
author: Pl. Kannappan
author: Prasanna Sahoo
reviewed by: Pushpa N. Rathie
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 508715