Invariance of means

DOI10.1007/s00010-018-0564-5zbMath1435.26037OpenAlexW2861697297MaRDI QIDQ1784262

Witold Jarczyk, Justyna Jarczyk

Publication date: 26 September 2018

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

Full work available at URL: https://doi.org/10.1007/s00010-018-0564-5

zbMATH Keywords

invariancequasi-arithmetic meanGauss compositionCauchy meanBajraktarević mean

Mathematics Subject Classification ID

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

Related Items (14)

Regular solutions of a functional equation derived from the invariance problem of Matkowski means ⋮ A dichotomy result for strictly increasing bisymmetric maps ⋮ Set-valued means ⋮ Invariance property for extended means ⋮ Gaussian iterative algorithm and integrated automorphism equation for random means ⋮ Some Cauchy mean-type mappings for which the arithmetic mean is invariant ⋮ On the invariance equation for two-variable weighted nonsymmetric Bajraktarević means ⋮ Random means generated by random variables: expectation and limit theorems ⋮ On a functional equation appearing on the margins of a mean invariance problem ⋮ Quasi-arithmetic-type invariant means on probability space ⋮ Note on generalized Archimedes-Borchardt algorithm ⋮ \(M\)-affine functions of means with a simple functional weight ⋮ Generalized classical weighted means, the invariance, complementarity and convergence of iterates of the mean-type mappings ⋮ Fuzzy means and HGA-type inequalities

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