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 - 2004

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Cauchy
Functional equation
Utility Theory
Monotonicity
Unknown

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

On Cauchy-differences that are also quasisums. / Járai, Antal; Maksa, Gyula; Páles, Zsolt.

In: Publicationes Mathematicae, Vol. 65, No. 3-4, 2004, p. 381-398.

Research output: Contribution to journalArticle

Járai, A, Maksa, G & Páles, Z 2004, 'On Cauchy-differences that are also quasisums', Publicationes Mathematicae, vol. 65, no. 3-4, pp. 381-398.
Járai, Antal ; Maksa, Gyula ; Páles, Zsolt. / On Cauchy-differences that are also quasisums. In: Publicationes Mathematicae. 2004 ; Vol. 65, No. 3-4. pp. 381-398.
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