Two sharp inequalities for power mean, geometric mean, and harmonic mean
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Publication:962447
DOI10.1155/2009/741923zbMath1187.26013OpenAlexW2069902904WikidataQ59219569 ScholiaQ59219569MaRDI QIDQ962447
Publication date: 7 April 2010
Published in: Journal of Inequalities and Applications (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/231537
Related Items (20)
Ostrowski type inequalities involving conformable fractional integrals ⋮ A new sequence related to the Euler-Mascheroni constant ⋮ 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 between power-type Heron and Seiffert 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 ⋮ Sharp power mean bounds for the combination of Seiffert and geometric means ⋮ Landen inequalities for a class of hypergeometric functions with applications ⋮ Optimal power mean bounds for the weighted geometric mean of classical means ⋮ A new sharp double inequality for generalized heronian, harmonic and power means ⋮ The optimal convex combination bounds for Seiffert's mean ⋮ Optimal lower power mean bound for the convex combination of harmonic and logarithmic means ⋮ Sharp bounds for power mean in terms of generalized Heronian mean ⋮ The optimal upper and lower power mean bounds for a convex combination of the arithmetic and logarithmic means ⋮ Optimal bounds for two Sándor-type means in terms of power means ⋮ Optimal inequalities for a Toader-type mean by quadratic and contraharmonic means ⋮ Monotonicity and inequalities involving zero-balanced hypergeometric function
Cites Work
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- Sharp power mean bounds for the Gaussian hypergeometric function
- The power mean and the logarithmic mean
- Generalization of the power means and their inequalities
- Inequalities for means in two variables
- A power mean inequality for the gamma function
- Generalization and sharpness of the power means inequality and their applications
- The Power Mean and the Logarithmic Mean
- An inequality for mixed power means
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