Sharp bounds by the generalized logarithmic mean for the geometric weighted mean of the geometric and harmonic means

DOI10.1155/2012/480689zbMath1244.26048OpenAlexW2163860664WikidataQ58905957 ScholiaQ58905957MaRDI QIDQ442934

Wei-Mao Qian, Bo-Yong Long

Publication date: 6 August 2012

Published in: Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/480689

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15)

Related Items (2)

Optimal lower generalized logarithmic mean bound for the Seiffert mean ⋮ Best possible bounds for Yang mean using generalized logarithmic mean

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Optimal inequalities between harmonic, geometric, logarithmic, and arithmetic-geometric means
• An optimal double inequality between geometric and identric means
• Optimal lower power mean bound for the convex combination of harmonic and logarithmic means
• A note on some inequalities for means
• Two optimal double inequalities between power mean and logarithmic mean
• A sharp double inequality between harmonic and identric means
• A simple proof of logarithmic convexity of extended mean values
• The monotonicity of the ratio between generalized logarithmic means
• Inequalities for generalized logarithmic means
• Optimal inequalities for generalized logarithmic, arithmetic, and geometric means
• Optimal inequalities among various means of two arguments
• Best possible inequalities between generalized logarithmic mean and classical means
• The optimal upper and lower power mean bounds for a convex combination of the arithmetic and logarithmic means
• Extended mean values. II
• Ungleichungen für Mittelwerte. (Inequalities for means)
• Inequalities for means in two variables
• An inequality between ratio of the extended logarithmic means and ratio of the exponential means.
• Inequalities for Generalized Weighted Mean Values of Convex Function
• Two sharp inequalities for Lehmer mean, identric mean and logarithmic mean
• Monotonicity of ratio between the generalized logarithmic means
• The Logarithmic Mean in n Variables
• The Geometric, Logarithmic, and Arithmetic Mean Inequality
• The Power and Generalized Logarithmic Means
• The Power Mean and the Logarithmic Mean
• Functional Equations Involving the Logarithmic Mean
• The Logarithmic Mean
• Isoperimetric Inequalities in Mathematical Physics. (AM-27)

This page was built for publication: Sharp bounds by the generalized logarithmic mean for the geometric weighted mean of the geometric and harmonic means