The invariance of the arithmetic mean with respect to generalized quasi-arithmetic means

DOI10.1016/j.jmaa.2008.11.071zbMath1167.26012OpenAlexW1985504088MaRDI QIDQ1014654

Zsolt Páles, Zita Makó

Publication date: 29 April 2009

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.11.071

zbMATH Keywords

invariance equationGauss-compositiongeneralized quasi-arithmetic meanMatkowski-Suto equation

Mathematics Subject Classification ID

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

Related Items (10)

Solving invariance equations involving homogeneous means with the help of computer ⋮ On some invariance of the quotient mean with respect to Makó-Páles means ⋮ Matkowski-Sutô type equation on symmetrized weighted quasi-arithmetic means ⋮ Set-valued means ⋮ An invariance of geometric mean with respect to generalized quasi-arithmetic means ⋮ Fixed points of functions with max-weighted quasi-arithmetic mean operator ⋮ Invariance of means ⋮ Quasi-arithmetic-type invariant means on probability space ⋮ On a lattice-like property of quasi-arithmetic means ⋮ Invariance in the Family of Weighted Gini Means

Cites Work

• Invariant and complementary quasi-arithmetic means
• Lagrangian means
• An invariance of the geometric mean with respect to Stolarsky mean-type mappings
• Invariance of the arithmetic mean with respect to special mean-type mappings
• Lagrangean mean-type mappings for which the arithmetic mean is invariant
• Extension Theorem for a Functional Equation
• Invariance in the class of weighted quasi-arithmetic means
• On means that are both quasi-arithmetic and conjugate arithmetic
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