New sharp bounds for logarithmic mean and identric mean

DOI10.1186/1029-242X-2013-116zbMath1285.26054WikidataQ59301607 ScholiaQ59301607MaRDI QIDQ2636692

Zhen-Hang Yang

Publication date: 31 January 2014

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

zbMATH Keywords

inequalitylogarithmic meanpower meanidentric mean

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Means (26E60) Inequalities involving other types of functions (26D07)

Related Items (8)

Perspectives, Means and their Inequalities ⋮ Optimal bounds for Neuman-Sándor mean in terms of the convex combination of the logarithmic and the second Seiffert means ⋮ Refinements of some classical inequalities involving sinc and hyperbolic sinc functions ⋮ Sharp inequalities for trigonometric functions ⋮ Jordan type inequalities for hyperbolic functions and their applications ⋮ Three families of two-parameter means constructed by trigonometric functions ⋮ A new chain of inequalities involving the Toader-Qi, logarithmic and exponential means ⋮ Logarithmically complete monotonicity of ratios of \(q\)-gamma functions

Cites Work

• A note on some inequalities for means
• Extended mean values. II
• Inequalities for means
• The weighted logarithmic mean
• Inequalities for means in two variables
• Some new inequalities for means of two arguments
• On certain means of two arguments and their extensions
• Companion inequalities for certain bivariate means
• The Geometric, Logarithmic, and Arithmetic Mean Inequality
• The Power and Generalized Logarithmic Means
• The Power Mean and the Logarithmic Mean
• Generalizations of the Logarithmic Mean
• The Logarithmic Mean

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