Sharp power mean bounds for the combination of Seiffert and geometric means

DOI10.1155/2010/108920zbMath1197.26054OpenAlexW2055195720WikidataQ58649720 ScholiaQ58649720MaRDI QIDQ1957554

Miao-Kun Wang, Ye-Fang Qiu, Yu-Ming Chu

Publication date: 27 September 2010

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

Full work available at URL: https://eudml.org/doc/224018

Mathematics Subject Classification ID

Means (26E60)

Related Items (18)

Ostrowski type inequalities involving conformable fractional integrals ⋮ Convexity and concavity of the modified Bessel functions of the first kind with respect to Hölder means ⋮ An optimal double inequality between Seiffert and geometric means ⋮ An optimal double inequality between geometric and identric means ⋮ Bounds of the Neuman-Sándor mean using power and identric means ⋮ A best possible double inequality for power mean ⋮ Optimal inequalities for power means ⋮ A sharp double inequality between Seiffert, arithmetic, and geometric means ⋮ Sharp bounds for Sándor-Yang means in terms of quadratic mean ⋮ Sharp power mean bounds for Seiffert mean ⋮ Sharp Cusa type inequalities with two parameters and their applications ⋮ Jordan type inequalities for hyperbolic functions and their applications ⋮ Three families of two-parameter means constructed by trigonometric functions ⋮ Optimal bounds for two Sándor-type means in terms of power means ⋮ Optimal inequalities for a Toader-type mean by quadratic and contraharmonic means ⋮ Improvements of bounds for the Sándor-Yang means ⋮ Sharp bounds for the weighted geometric mean of the first Seiffert and logarithmic means in terms of weighted generalized Heronian mean ⋮ Bounding the Sándor-Yang means for the combinations of contraharmonic and arithmetic means

Cites Work

• Two sharp inequalities for power mean, geometric mean, and harmonic mean
• Optimal power mean bounds for the weighted geometric mean of classical means
• Optimal inequalities among various means of two arguments
• The optimal upper and lower power mean bounds for a convex combination of the arithmetic and logarithmic means
• Ungleichungen für Mittelwerte. (Inequalities for means)
• The power mean and the logarithmic mean
• Inequalities for means in two variables
• The Geometric, Logarithmic, and Arithmetic Mean Inequality
• The Power and Generalized Logarithmic Means
• The Power Mean and the Logarithmic Mean
• On certain inequalities for means. III
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