Invariance of quasi-arithmetic means with function weights

DOI10.1016/j.jmaa.2008.11.046zbMath1165.26016OpenAlexW1999930703MaRDI QIDQ1014671

Justyna Jarczyk

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.2008.11.046

zbMATH Keywords

functional equationinvariant meanmeanquasi-arithmetic meanfunction weight

Mathematics Subject Classification ID

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

Related Items (9)

Invariance in a class of Bajraktarević means ⋮ Solving invariance equations involving homogeneous means with the help of computer ⋮ Matkowski-Sutô type equation on symmetrized weighted quasi-arithmetic means ⋮ On a functional equation related to two-variable weighted quasi-arithmetic means ⋮ On the invariance equation for two-variable weighted nonsymmetric Bajraktarević means ⋮ On the equality of quasi-arithmetic and Lagrangian means ⋮ On a functional equation appearing on the margins of a mean invariance problem ⋮ Invariance of means ⋮ On a lattice-like property of quasi-arithmetic means

Cites Work

• Invariant and complementary quasi-arithmetic means
• Regularity properties of functional equations in several variables.
• Invariance in the class of weighted quasi-arithmetic means
• On means that are both quasi-arithmetic and conjugate arithmetic
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