The optimal upper and lower power mean bounds for a convex combination of the arithmetic and logarithmic means

DOI10.1155/2010/604804zbMath1190.26038OpenAlexW2021343455WikidataQ58649887 ScholiaQ58649887MaRDI QIDQ981106

Wei-Feng Xia, Gen-Di Wang, Yu-Ming Chu

Publication date: 30 June 2010

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

Full work available at URL: https://eudml.org/doc/226740

Mathematics Subject Classification ID

Means (26E60)

Related Items (18)

Ostrowski type inequalities involving conformable fractional integrals ⋮ Monotonicity properties and bounds involving the complete elliptic integrals of the first kind ⋮ The optimal convex combination bounds of arithmetic and harmonic means for the Seiffert's mean ⋮ An optimal double inequality for means ⋮ Inequalities between power means and convex combinations of the harmonic and logarithmic means ⋮ A best possible double inequality for power mean ⋮ Optimal inequalities for power means ⋮ Sharp bounds by the generalized logarithmic mean for the geometric weighted mean of the geometric and harmonic means ⋮ Sharp power mean bounds for the combination of Seiffert and geometric means ⋮ Sharp bounds for Sándor-Yang means in terms of quadratic mean ⋮ Sharp power mean bounds for Seiffert mean ⋮ Optimal bounds for arithmetic-geometric and Toader means in terms of generalized logarithmic mean ⋮ The optimal convex combination bounds for Seiffert's mean ⋮ Sharp bounds for power mean in terms of generalized Heronian mean ⋮ A new chain of inequalities involving the Toader-Qi, logarithmic and exponential means ⋮ Optimal inequalities for a Toader-type mean by quadratic and contraharmonic means ⋮ Unnamed Item ⋮ Sharp power mean bounds for two Sándor-Yang means

Cites Work

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• Total Positivity of Mean Values and Hypergeometric Functions
• The Logarithmic Mean in n Variables
• The Geometric, Logarithmic, and Arithmetic Mean Inequality
• The Power Mean and the Logarithmic Mean
• Generalizations of the Logarithmic Mean
• Functional Equations Involving the Logarithmic Mean
• Algorithms Involving Arithmetic and Geometric Means
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