A solution of an open problem concerning Lagrangian mean-type mappings

DOI10.2478/s11533-011-0059-2zbMath1232.26052OpenAlexW2093725576MaRDI QIDQ657414

Dorota Głazowska

Publication date: 16 January 2012

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s11533-011-0059-2

zbMATH Keywords

functional equationinvariant meanmeanLagrangian mean

Mathematics Subject Classification ID

Iteration theory, iterative and composite equations (39B12) Means (26E60)

Related Items (7)

On the quasi-arithmetic Gauss-type iteration ⋮ On some invariance of the quotient mean with respect to Makó-Páles means ⋮ Invariance property for extended means ⋮ Some Cauchy mean-type mappings for which the arithmetic mean is invariant ⋮ Invariance of means ⋮ Quasi-arithmetic-type invariant means on probability space ⋮ Characterization of the Hardy property of means and the best Hardy constants

Cites Work

• Some Cauchy mean-type mappings for which the geometric mean is invariant
• An invariance of geometric mean with respect to Lagrangian means
• Invariant and complementary quasi-arithmetic means
• Lagrangean mean-type mappings for which the arithmetic mean is invariant
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