Differentiable solutions of a functional equation related to the non-power means
type: Item
instance of: scholarly article
title: Differentiable solutions of a functional equation related to the non-power means
zbMATH Open document ID: 0892.39019
author: Justyna Sikorska
published in: Aequationes Mathematicae
publication date: 1998-07-19T00:00:00Z
review text: The author offers the general \(C^{2}\) solutions \(f,g\) of the functional equation \(x+g(y+f(x))=y+g(x+f(y))\) obtained by \textit{M. E. Kuczma} [Aequationes Math. 45, No. 2-3, 300-321 (1993; Zbl 0787.39007)] in connection with compatibility of means (he determined its analytic solutions).
Mathematics Subject Classification ID: 39B22
zbMATH DE Number: 1130467
zbMATH Keywords: functional equation
zbMATH Keywords: twice differentiable solution
zbMATH Keywords: compatibility of mean values
reviewed by: János Aczél
MaRDI profile type: Publication
full work available at URL: s000100050026
OpenAlex ID: W2044373701
DOI: 10.1007/S000100050026
Recommended article: Differentiable solutions for a class of functional equations
Recommended article: Differentiable solutions of an iterative functional equation
Recommended article: Q3469641
Recommended article: Q4300913
Recommended article: On a functional equation related to power means
Recommended article: On approximate solutions of a functional equation in the class of differentiable functions
Recommended article: Q3715691
Recommended article: On nonvanishing solutions of a class of functional equations
Recommended article: Differentiable solutions of equations involving iterated functional series
Recommended article: Q4670073
description: scientific article; zbMATH DE number 1130467