On an equation involving weighted quasi-arithmetic means

DOI10.1007/s10474-010-9246-zzbMath1240.26068OpenAlexW2014838786MaRDI QIDQ626013

Justyna Jarczyk

Publication date: 25 February 2011

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-010-9246-z

zbMATH Keywords

functional equationinvariant meanregularity of solutionsquasi-arithmetic mean

Mathematics Subject Classification ID

Functional equations for real functions (39B22) Means (26E60)

Related Items

Matkowski-Sutô type equation on symmetrized weighted quasi-arithmetic means ⋮ On a functional equation related to two-variable weighted quasi-arithmetic means ⋮ A square iterative roots of some mean-type mappings ⋮ Determination of conjugate means by reducing to the generalized Matkowski-Sütő equation ⋮ On the equality problem of conjugate means ⋮ Invariance of means

Cites Work

• Mean values and functional equations
• Invariant and complementary quasi-arithmetic means
• On linear combinations of weighted quasi-arithmetic means
• On two-variable means with variable weights
• Invariance in the class of weighted quasi-arithmetic means
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