Inequalities for differences of power means in two variables

DOI10.1007/s10476-011-0203-zzbMath1240.26069OpenAlexW2108735503MaRDI QIDQ653869

Lokenath Debnath, Shan-He Wu

Publication date: 19 December 2011

Published in: Analysis Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10476-011-0203-z

zbMATH Keywords

arithmetic meangeometric meanpower meaninequalities for differences of means

Mathematics Subject Classification ID

Means (26E60) Other analytical inequalities (26D20)

Related Items (5)

Topics in Special Functions III ⋮ A new family of weighted operator means including the weighted Heron, logarithmic and Heinz means ⋮ Schur \(m\)-power convexity for general geometric Bonferroni mean of multiple parameters and comparison inequalities between several means ⋮ Optimal inequalities for power means ⋮ Estimations of the weighted power mean by the Heron mean and related inequalities for determinants and traces

Cites Work

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• Some new inequalities for means in two variables
• An Optimal Two Parameter Bounds for the Identric Mean
• The Logarithmic Mean
• Isoperimetric Inequalities in Mathematical Physics. (AM-27)

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