On the monotonicity and log-convexity of a four-parameter homogeneous mean

DOI10.1155/2008/149286zbMath1152.26333OpenAlexW2154688161WikidataQ59218084 ScholiaQ59218084MaRDI QIDQ949007

Zhen-Hang Yang

Publication date: 16 October 2008

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

Full work available at URL: https://eudml.org/doc/129469

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15)

Related Items (12)

Properties of the power-mean and their applications ⋮ Monotonicity and absolute monotonicity for the two-parameter hyperbolic and trigonometric functions with applications ⋮ Sub-super-stabilizability of certain bivariate means via mean-convexity ⋮ The monotonicity results for the ratio of certain mixed means and their applications ⋮ A positive answer to Bhatia-Li conjecture on the monotonicity for a new mean in its parameter ⋮ On new sharp bounds for the Toader-Qi mean involved in the modified Bessel functions of the first kind ⋮ Three families of two-parameter means constructed by trigonometric functions ⋮ Some monotonicity results for the ratio of two-parameter symmetric homogeneous functions ⋮ Schur-convexity of averages of convex functions ⋮ Necessary and sufficient conditions for Schur geometrical convexity of the four-parameter homogeneous means ⋮ 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 differences of powers
• Logarithmic convexity of extended mean values
• The Power and Generalized Logarithmic Means
• The Power Mean and the Logarithmic Mean
• Extended Mean Values
• The Logarithmic Mean

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