On the equality of quasi-arithmetic and Lagrangian means

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

The paper deals with the equality problem of quasi-arithmetic and Lagrangian means which is to determine all pairs of continuous strictly monotone functions Φ,Ψ:I→R such that, for all x,y∈I,. holds. The main result of the paper shows that there are 6 different cases of equality.

Original languageEnglish
Pages (from-to)86-96
Number of pages11
JournalJournal of Mathematical Analysis and Applications
Volume382
Issue number1
DOIs
Publication statusPublished - Oct 1 2011

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Equality
Monotone Function
Strictly

Keywords

  • Equality problem
  • Lagrangian mean
  • Quasi-arithmetic mean

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

Cite this

On the equality of quasi-arithmetic and Lagrangian means. / Páles, Z.

In: Journal of Mathematical Analysis and Applications, Vol. 382, No. 1, 01.10.2011, p. 86-96.

Research output: Contribution to journalArticle

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