Modelling illuminance indices by means of functional equations
type: Item
instance of: scholarly article
title: Modelling illuminance indices by means of functional equations
zbMATH Open document ID: 1061.39019
author: Claudi Alsina
published in: Aequationes Mathematicae
publication date: 2005-01-20T00:00:00Z
review text: In the year 2004 the functional-equationists celebrated the 80th birthday of the Supreme Pontiff of the church named Theory of Functional Equations (FEs) and Their Applications, Prof. János Aczél. Naturally, the 2004 issues of the journal Aequationes Mathematicae are devoted to the founder of the modern Theory of Functional Equations and the named journal as well. The present paper represents more than an occasional article. It illustrates the two major tendencies in the Theory of FEs. On the one hand deepening of the theory, on the other hand enlargement of the area of applications, which are to justify supplementarily the theory, otherwise worth the interest by itself. The author presents a functional equation model for the illuminance indices. He extends the usual ``illuminance index'' used in technical handbooks on lighting and gives gives a complete characterization of various classes of indices.
reviewed by: Borislav Crstici
Mathematics Subject Classification ID: 39B22
Mathematics Subject Classification ID: 39B72
zbMATH DE Number: 2130332
zbMATH Keywords: Illumination index
zbMATH Keywords: functional model
zbMATH Keywords: Cauchy's functional equations
zbMATH Keywords: quasi-arithmetic means
MaRDI profile type: Publication
full work available at URL: s00010-004-2755-5
OpenAlex ID: W2068045961
DOI: 10.1007/S00010-004-2755-5
description: scientific article; zbMATH DE number 2130332