An inconsistency equation involving means

DOI10.4064/CM115-1-8zbMath1168.39006OpenAlexW2067141903MaRDI QIDQ5505093

Roman Ger, Tomasz Kochanek

Publication date: 23 January 2009

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/cm115-1-8

zbMATH Keywords

logarithmic meanquasi-arithmetic meanbisymmetry equationgeneralized Jensen functional equation

Mathematics Subject Classification ID

Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Functional equations for real functions (39B22)

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Roman Ger, 70 years of a mathematician's adventurous life ⋮ From a theorem of R. Ger and T. Kochanek to marginal joints of means ⋮ Generalizations of theorems of J. Aczél and R. Ger and T. Kochanek ⋮ Solution of a problem of Z. Daróczy, J. Jarczyk and W. Jarczyk and generalization of a theorem of R. Ger and T. Kochane ⋮ Properties of extremal families of \(MN\)-convex (\(MN\)-concave) functions ⋮ \(M\)-affine functions composing Sturm-Liouville families

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