Sharp bounds for power mean in terms of generalized Heronian mean

DOI10.1155/2011/679201zbMath1218.26022OpenAlexW2156788334WikidataQ58654396 ScholiaQ58654396MaRDI QIDQ554928

Wanguo Yu, Hongya Gao, Jianling Guo

Publication date: 22 July 2011

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2011/679201

zbMATH Keywords

power meanHeronian mean

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Means (26E60)

Related Items (4)

Jordan type inequalities for hyperbolic functions and their applications ⋮ Sharp lower bounds involving circuit layout system ⋮ Isoperimetric inequalities in surround system and space science ⋮ Sharp bounds for the weighted geometric mean of the first Seiffert and logarithmic means in terms of weighted generalized Heronian mean

Cites Work

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• Two sharp inequalities for power mean, geometric mean, and harmonic mean
• Inequalities for generalized logarithmic means
• Optimal power mean bounds for the weighted geometric mean of classical 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
• A refinement of various mean inequalities
• On certain means of two arguments and their extensions
• The optimization for the inequalities of power means
• A note on generalized Heronian means
• The generalized Heronian mean and its inequalities

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