On the invariance of the arithmetic mean with respect to generalized Bajraktarević means

DOI10.1007/s10474-022-01230-5OpenAlexW4224984725MaRDI QIDQ2151122

Richárd Grünwald, Zsolt Páles

Publication date: 30 June 2022

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

Full work available at URL: https://doi.org/10.1007/s10474-022-01230-5

zbMATH Keywords

quasi-arithmetic meaninvariance equationBajraktarević mean

Mathematics Subject Classification ID

Functional equations for real functions (39B22) Iteration theory, iterative and composite equations (39B12) Means (26E60)

Cites Work

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• Generalized weighted quasi-arithmetic means
• On the equality problem of generalized Bajraktarević means
• Computer aided solution of the invariance equation for two-variable Gini means
• Computer aided solution of the invariance equation for two-variable Stolarsky means
• A separation theorem for nonlinear inverse images of convex sets
• Invariant and complementary quasi-arithmetic means
• On the invariance equation for two-variable weighted nonsymmetric Bajraktarević means
• Invariance in the class of weighted quasi-arithmetic means

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