On the composition of homogeneous quasi-arithmetic means

DOI10.1006/JMAA.1997.5648zbMath0890.39021OpenAlexW2034196747MaRDI QIDQ1378685

Peter Kahlig, Janusz Matkowski

Publication date: 28 June 1998

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1997.5648

zbMATH Keywords

arithmetic meangeometric meancomposite functional equationhomogeneous quasiarithmetic means

Mathematics Subject Classification ID

Functional equations for real functions (39B22) Iteration theory, iterative and composite equations (39B12) Representation and superposition of functions (26B40)

Related Items (8)

On the commutation of generalized means on probability spaces ⋮ Quasi-arithmetic means ad libitum ⋮ Commutativity of integral quasiarithmetic means on measure spaces ⋮ Generalized homogeneity of means ⋮ Generalization of the harmonic weighted mean via Pythagorean invariance identity and application ⋮ Invariance of means ⋮ On a lattice-like property of quasi-arithmetic means ⋮ Some mean values related to the quasi-arithmetic mean

Cites Work

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