On some functional inequalities related to the logarithmic mean

DOI10.1007/s10474-010-9153-3zbMath1224.39040OpenAlexW2044543116MaRDI QIDQ532087

Włodzimierz Fechner

Publication date: 26 April 2011

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-010-9153-3

zbMATH Keywords

exponential functionfunctional inequalityarithmetic, geometric and logarithmic meaninequalities between means

Mathematics Subject Classification ID

Functional inequalities, including subadditivity, convexity, etc. (39B62) Means (26E60) Inequalities involving other types of functions (26D07)

Related Items (3)

An additive (\({\alpha, \beta}\))-functional equation and linear mappings in Banach spaces ⋮ Fixed points and additive \(\rho\)-functional equations ⋮ On the equality of quasi-arithmetic and Lagrangian means

Cites Work

• A note on some inequalities for means
• On Hölder-type inequalities
• Essential inequalities for means
• Extended mean values. II
• Hölder-type inequalities for quasiarithmetic means
• Inequalities for differences of powers
• Inequalities for sums of powers
• General inequalities for quasideviation means
• Inequalities for integral mean values
• On some inequalities and stability results related to the exponential function
• A generalization of the Minkowski inequality
• A general inequality for means
• General inequalities for nonsymmetric means
• The Geometric, Logarithmic, and Arithmetic Mean Inequality
• Minkowski’s inequality for two variable difference means
• The Logarithmic Mean
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