On functional equations involving means

Zoltán Daróczy, Zsolt Páles

Research output: Contribution to journalArticle

23 Citations (Scopus)

Abstract

The main results of the paper concern functional equations of the form f(M(x,y))(g(y) - g(x)) = μ(f(x)g(y) - f(y)g(x)) (x, y ∈ I), where f and g are continuous functions defined on an open interval I and M is a strict two variable mean on I. As an application, a generalization of the so-called Matkowski-Sutô problem for weighted two variable quasi-arithmetic means is solved under first-order continuous differentiability assumptions.

Original languageEnglish
Pages (from-to)363-377
Number of pages15
JournalPublicationes Mathematicae
Volume62
Issue number3-4
Publication statusPublished - Jan 1 2003

Keywords

  • Functional equation
  • Matkowski-Sutô problem
  • Stolarsky means
  • Weighted quasi-arithmetic mean

ASJC Scopus subject areas

  • Mathematics(all)

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