On means that are both quasi-arithmetic and conjugate arithmetic

DOI10.1023/A:1010641702978zbMath0980.39014OpenAlexW2100927532MaRDI QIDQ5948304

Zoltán Daróczy, Zsolt Páles

Publication date: 5 November 2001

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

Full work available at URL: https://doi.org/10.1023/a:1010641702978

zbMATH Keywords

conjugate arithmetic mean

Mathematics Subject Classification ID

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

Related Items (18)

Regular solutions of a functional equation derived from the invariance problem of Matkowski means ⋮ Solving invariance equations involving homogeneous means with the help of computer ⋮ Invariance of the Cauchy means with respect to Lagrange mean-type mappings of the same generators ⋮ An invariance of geometric mean with respect to generalized quasi-arithmetic means ⋮ Unnamed Item ⋮ On a functional equation related to two-variable weighted quasi-arithmetic means ⋮ Computer assisted solution of an equality problem of mean values ⋮ Determination of conjugate means by reducing to the generalized Matkowski-Sütő equation ⋮ The equality problem in the class of conjugate means ⋮ On the equality of quasi-arithmetic and Lagrangian means ⋮ On the equality problem of conjugate 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 ⋮ On a functional equation appearing on the margins of a mean invariance problem ⋮ Invariance of means ⋮ The invariance of the arithmetic mean with respect to generalized quasi-arithmetic means ⋮ Invariance of quasi-arithmetic means with function weights ⋮ On a lattice-like property of quasi-arithmetic means

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