Some monotonicity results for the ratio of two-parameter symmetric homogeneous functions

DOI10.1155/2009/591382zbMath1186.26027OpenAlexW2162993048WikidataQ58648477 ScholiaQ58648477MaRDI QIDQ963515

Zhen-Hang Yang

Publication date: 20 April 2010

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/227937

Mathematics Subject Classification ID

Means (26E60)

Related Items (4)

Properties of the power-mean and their applications ⋮ The monotonicity results for the ratio of certain mixed means and their applications ⋮ Sharp bounds for the arithmetic-geometric mean ⋮ Necessary and sufficient conditions for Schur geometrical convexity of the four-parameter homogeneous means

Cites Work

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• The monotonicity of the ratio between generalized logarithmic means
• On the monotonicity and log-convexity of a four-parameter homogeneous mean
• On the log-convexity of two-parameter homogeneous functions
• Monotonicity of ratio between the generalized logarithmic means
• Inequalities for the ratios of certain bivariate means
• Complete monotonicity of the logarithmic mean
• The generalized Heronian mean and its inequalities
• The Logarithmic Mean

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