Functional Equations Involving the Logarithmic Mean

DOI10.1002/zamm.19960760710zbMath0885.39008OpenAlexW2071112733MaRDI QIDQ4361951

Peter Kahlig, Janusz Matkowski

Publication date: 5 April 1998

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/zamm.19960760710

zbMATH Keywords

functional equationlogarithmic meangeometric meanquasiarithmetic meanarithemtic mean

Mathematics Subject Classification ID

Functional equations for real functions (39B22)

Related Items (11)

Convergence of iterates of pre-mean-type mappings ⋮ Two optimal double inequalities between power mean and logarithmic mean ⋮ An optimal double inequality for means ⋮ Inequalities between power means and convex combinations of the harmonic and logarithmic means ⋮ Sharp bounds by the generalized logarithmic mean for the geometric weighted mean of the geometric and harmonic means ⋮ Optimal Lehmer mean bounds for the combinations of identric and logarithmic means ⋮ On the intersection of two-parameter mean value families ⋮ Optimal bounds for arithmetic-geometric and Toader means in terms of generalized logarithmic mean ⋮ Best possible inequalities between generalized logarithmic mean and classical means ⋮ Optimal lower power mean bound for the convex combination of harmonic and logarithmic means ⋮ The optimal upper and lower power mean bounds for a convex combination of the arithmetic and logarithmic means

Cites Work

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