Invariance of the arithmetic mean with respect to special mean-type mappings

DOI10.1007/s00010-005-2791-9zbMath1101.26020OpenAlexW1971672457MaRDI QIDQ2490648

Joachim Domsta, Janusz Matkowski

Publication date: 18 May 2006

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00010-005-2791-9

zbMATH Keywords

functional equationinvariant meanequality of means

Mathematics Subject Classification ID

Iteration theory, iterative and composite equations (39B12) Functional equations for functions with more general domains and/or ranges (39B52) Means (26E60)

Related Items (14)

Extension Theorem for a Functional Equation ⋮ Invariance in a class of Bajraktarević means ⋮ Convergence of iterates of pre-mean-type mappings ⋮ 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 ⋮ Invariant translative mappings and a functional equation ⋮ Matkowski-Sutô type equation on symmetrized weighted quasi-arithmetic means ⋮ On the invariance equation for two-variable weighted nonsymmetric 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 ⋮ 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 in the Family of Weighted Gini Means

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