On two-variable means with variable weights

Zoltán Daróczy, Gyula Maksa, Zsolt Páles

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

In this note we solve the equality problem of weighted quasi-arithmetic means of two variables in the particular case when one of the weight functions is constant. As an application, we determine all those weighted arithmetic means that are also quasi-arithmetic. No differentiability conditions on the unknown functions are assumed.

Original language English 154-159 6 Aequationes Mathematicae 67 1-2 Published - Mar 2004

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Quasi-arithmetic Mean
Differentiability
Weight Function
Equality
Unknown

Keywords

• Functional equation
• Quasi-arithmetic mean
• Regularity theorem
• Weighted arithmetic mean

ASJC Scopus subject areas

• Mathematics(all)

Cite this

Daróczy, Z., Maksa, G., & Páles, Z. (2004). On two-variable means with variable weights. Aequationes Mathematicae, 67(1-2), 154-159.

On two-variable means with variable weights. / Daróczy, Zoltán; Maksa, Gyula; Páles, Zsolt.

In: Aequationes Mathematicae, Vol. 67, No. 1-2, 03.2004, p. 154-159.

Research output: Contribution to journalArticle

Daróczy, Z, Maksa, G & Páles, Z 2004, 'On two-variable means with variable weights', Aequationes Mathematicae, vol. 67, no. 1-2, pp. 154-159.
Daróczy, Zoltán ; Maksa, Gyula ; Páles, Zsolt. / On two-variable means with variable weights. In: Aequationes Mathematicae. 2004 ; Vol. 67, No. 1-2. pp. 154-159.
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