On Cauchy-differences that are also quasisums

Antal Járai, Gyula Maksa, Zsolt Páles

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

In this paper, we completely describe those Cauchy-differences that can also be written as a quasisum, i.e., we solve the functional equation f(x) + f(y) - f(x + y) = a(b(x) + b(y)) under strict monotonicity assumptions on the unknown functions a, b. As an application of the result obtained, we solve a functional equation arising in utility theory. Cauchy-difference, quasisum.

Original languageEnglish
Pages (from-to)381-398
Number of pages18
JournalPublicationes Mathematicae
Volume65
Issue number3-4
Publication statusPublished - Dec 1 2004

ASJC Scopus subject areas

  • Mathematics(all)

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